Question

Determine , pela decomposição em fatores primos: a) 18 ,27, 45.b) 120 ,132, 20

Answer 1

$\centering %centraliza a tabela \begin{tabular}{rrr|c|c} & & & MMC & MDC \\ %cabecalho 18, & 27, & 45 & 2\\ 9, & 27, & 45 & 3 & 3\\ 3, & 9, & 15 & 3 & 3\\ 1, & 3, & 5 & 3\\ 1, & 1, & 5 & 5\\ 1, & 1, & 1\\ \end{tabular}$
$\text{MMC}\,\,\ 2 \cdot 3^3 \cdot 5 = 270 \text{MDC}\,\,\ 3^2 = 9$


$\centering %centraliza a tabela \begin{tabular}{rrr|c|c} & & & MMC & MDC \\ %cabecalho 20, & 120, & 132 & 2 & 2\\ 10, & 60, & 66 & 2 & 2\\ 5, & 30, & 33 & 2\\ 5, & 15, & 33 & 3\\ 5, & 5, & 11 & 5\\ 1, & 1, & 11 & 11\\ 1, & 1, & 1\\ \end{tabular}$
$\text{MMC}\,\,\ 2^3 \cdot 3 \cdot 5 \cdot 11 = 1320 \\ \text{MDC}\,\,\ 2^2 = 4$