30:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.601421:0.135654:0.601421:0.135654:0.582728:0.115209:0.582728:0.000000:0.000000:0.000000
Calcula:@0.148451:0.601421:0.208920:0.601421:0.208920:0.583286:0.148451:0.583286:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el m.c.d. de los siguientes números, por el método abreviado. En tu cuaderno :@0.208918:0.601421:0.833671:0.601421:0.833671:0.583542:0.208918:0.583542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelve:@0.148451:0.619526:0.218288:0.619526:0.218288:0.601391:0.148451:0.601391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 por intersección de conjuntos. :@0.218286:0.619526:0.470051:0.619526:0.470051:0.601647:0.218286:0.601647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.558926:0.236739:0.558926:0.236739:0.524978:0.175844:0.524978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplica la descomposición de factores primos y el cálculo del m.c.d. de números naturales en la resolución de problemas; expresa con :@0.256865:0.541672:0.877723:0.541672:0.877723:0.531242:0.256865:0.531242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
claridad y precisión los resultados obtenidos. (I.3., I.4.) (Ref. I.M.3.3.1.).:@0.256865:0.552233:0.571968:0.552233:0.571968:0.541804:0.256865:0.541804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El máximo común divisor (m.c.d.) de dos o más números naturales es el mayor de los divisores :@0.115209:0.169014:0.884301:0.169014:0.884301:0.151135:0.115209:0.151135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunes de todos los números.:@0.115209:0.187119:0.371537:0.187119:0.371537:0.169240:0.115209:0.169240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si un número es divisor de otros números, el m.c.d. es el menor número de todos. Si dos números :@0.115209:0.208789:0.884447:0.208789:0.884447:0.190910:0.115209:0.190910:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son primos entre sí, el m.c.d. es igual a 1.:@0.115209:0.226894:0.436529:0.226894:0.436529:0.209015:0.115209:0.209015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta :@0.115209:0.257514:0.289933:0.257514:0.289933:0.237541:0.115209:0.237541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos:@0.115209:0.285997:0.211441:0.285997:0.211441:0.267862:0.115209:0.267862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el m.c.d. de 12 y 15 por intersección de conjuntos y por el método abreviado.:@0.211441:0.285997:0.831303:0.285997:0.831303:0.268118:0.211441:0.268118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Máximo común divisor (m.c.d.):@0.115891:0.141978:0.552073:0.141978:0.552073:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Encontrar el máximo común divisor de un conjunto de números naturales. Ref. (M.3.1.17.):@0.125388:0.074999:0.543285:0.074999:0.543285:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12:@0.048475:0.115022:0.082036:0.115022:0.082036:0.057990:0.048475:0.057990:0.000000:0.000000
De los divisores comunes (1 y 3) :@0.164866:0.449965:0.424533:0.449965:0.424533:0.432087:0.164866:0.432087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
escogemos el mayor: 3 > 1:@0.164866:0.471635:0.379400:0.471635:0.379400:0.453756:0.164866:0.453756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El m.c.d. de 12 y 15 es 3.:@0.164866:0.493303:0.354999:0.493303:0.354999:0.475424:0.164866:0.475424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Obtenemos los factores comunes :@0.523255:0.449965:0.797073:0.449965:0.797073:0.432087:0.523255:0.432087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta que en el lado izquierdo :@0.523255:0.468071:0.768285:0.468071:0.768285:0.450192:0.523255:0.450192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tenemos números primos entre sí. :@0.523255:0.486176:0.801274:0.486176:0.801274:0.468297:0.523255:0.468297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El m.c.d. de 12 y 15 es 3.:@0.523255:0.507845:0.713388:0.507845:0.713388:0.489966:0.523255:0.489966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12 15:@0.620124:0.372923:0.672985:0.372923:0.672985:0.355044:0.620124:0.355044:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.696416:0.372923:0.706227:0.372923:0.706227:0.355044:0.696416:0.355044:0.000000
4:@0.629935:0.396090:0.639745:0.396090:0.639745:0.378211:0.629935:0.378211:0.000000
5:@0.663175:0.396090:0.672985:0.396090:0.672985:0.378211:0.663175:0.378211:0.000000
2:@0.255284:0.326266:0.265094:0.326266:0.265094:0.308387:0.255284:0.308387:0.000000
5:@0.380349:0.362515:0.390159:0.362515:0.390159:0.344636:0.380349:0.344636:0.000000
4:@0.201809:0.354114:0.211619:0.354114:0.211619:0.336235:0.201809:0.336235:0.000000
6:@0.244283:0.368401:0.254093:0.368401:0.254093:0.350522:0.244283:0.350522:0.000000
15:@0.375444:0.395277:0.395064:0.395277:0.395064:0.377398:0.375444:0.377398:0.000000:0.000000
1:@0.304797:0.354114:0.314608:0.354114:0.314608:0.336235:0.304797:0.336235:0.000000
3:@0.304797:0.382687:0.314608:0.382687:0.314608:0.364808:0.304797:0.364808:0.000000
12:@0.221726:0.404934:0.241346:0.404934:0.241346:0.387055:0.221726:0.387055:0.000000:0.000000
D:@0.175690:0.322826:0.188276:0.322826:0.188276:0.305925:0.175690:0.305925:0.000000
12:@0.188276:0.325989:0.199793:0.325989:0.199793:0.316137:0.188276:0.316137:0.000000:0.000000
D:@0.405258:0.322826:0.417844:0.322826:0.417844:0.305925:0.405258:0.305925:0.000000
15:@0.417844:0.325989:0.429361:0.325989:0.429361:0.316137:0.417844:0.316137:0.000000:0.000000
a):@0.149412:0.651166:0.165675:0.651166:0.165675:0.632729:0.149412:0.632729:0.000000:0.000000
24 12:@0.180699:0.651166:0.233559:0.651166:0.233559:0.633287:0.180699:0.633287:0.000000:0.000000:0.000000:0.000000:0.000000
g):@0.658797:0.651166:0.676367:0.651166:0.676367:0.632729:0.658797:0.632729:0.000000:0.000000
180 225:@0.690082:0.651166:0.763202:0.651166:0.763202:0.633287:0.690082:0.633287:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.402970:0.651166:0.420700:0.651166:0.420700:0.632729:0.402970:0.632729:0.000000:0.000000
20 30:@0.434255:0.651166:0.487117:0.651166:0.487117:0.633287:0.434255:0.633287:0.000000:0.000000:0.000000:0.000000:0.000000
e):@0.402970:0.791971:0.419394:0.791971:0.419394:0.773534:0.402970:0.773534:0.000000:0.000000
60 90 150:@0.434255:0.791971:0.530167:0.791971:0.530167:0.774093:0.434255:0.774093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h):@0.658797:0.791971:0.676347:0.791971:0.676347:0.773534:0.658797:0.773534:0.000000:0.000000
100 1 000:@0.690082:0.791971:0.778838:0.791971:0.778838:0.774093:0.690082:0.774093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.149412:0.791971:0.167103:0.791971:0.167103:0.773534:0.149412:0.773534:0.000000:0.000000
30 42:@0.180699:0.791971:0.233559:0.791971:0.233559:0.774093:0.180699:0.774093:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.697691:0.750184:0.760272:0.750184:0.760272:0.732305:0.697691:0.732305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.697691:0.913535:0.760272:0.913535:0.760272:0.895656:0.697691:0.895656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.171591:0.750184:0.234171:0.750184:0.234171:0.732305:0.171591:0.732305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.428046:0.750184:0.490627:0.750184:0.490627:0.732305:0.428046:0.732305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.428046:0.892246:0.490627:0.892246:0.490627:0.874367:0.428046:0.874367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m.c.d. =:@0.171978:0.890989:0.234558:0.890989:0.234558:0.873110:0.171978:0.873110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000