Question

1°-o m.d.c entre 72,63,54?

2°-qual a forma fatorada de 180?

Answer 1

$1)~~ 72,63,54~|~2\\~~~~~~36,63,27~|~2\\~~~~~~ 18,63,27~|~2\\~~~~~~~9,63,27~|~3\to~~ { \it fator~~comum}\\ ~~~~~~~ 3,21,~~9 ~|~3\to~~ { \it fator~~comum}\\ ~~~~~~~1,~7,~~9~|~3\\~~~~~~~1,~ 7,~~3~|~3~~~~~~~~\\ ~~~~~~~1,~7,~~1~|\underline{~7~~~~~~~~}\\ ~~~~~~~1,~1,~~1~|~3^2=9\\\\\\ \underline{~MDC~(72,63,54)=9~}$



$2)~~180~|~2\\~~~~~~~90~|~2\\~~~~~~~45~|~3\\~~~~~~~15~|~3\\ ~~~~~~~~5~|\underline{~5~~~~~~~~}\\ ~~~~~~~~ 1~|~2^2.3^2.5\\\\\\ \underline{~180 = 2^2.3^2.5~}$