Question

Calcule o mdc de 64,80 e 54

Answer 1

 fatora os números e o mdc será os fatores comuns de menores expoentes


$64|2~~~~~~~80|2~~~~~~~54|2 \\ 32|2~~~~~~~40|2~~~~~~~27|3 \\ 16|2~~~~~~~20|2~~~~~~~~9|3 \\ ~~8|2~~~~~~~10|2~~~~~~~~3|3 \\ ~~4|2~~~~~~~~5|5~~~~~~~~~1 \\ ~~2|2~~~~~~~~1 \\ ~~1 \\ \\ 64=2^6 \\ 80=2^4.5 \\ 54=2.3^3 \\ \\ o~~fator~~comum~~com~~menor~~expoente~~\'e~~o~~2 \\ \\ mdc(64,80,54)=2$