Question

Calcule os MMC e MDC dos números abaixo:
a) 8.12
b) 15,45
c) 20.50
d) 60, 100​

Answer 1

Resposta:

Explicação passo-a-passo:

$\begin{array}{rr|c|c} & & MMC & MDC \\8, & 12 & 2 & 2\\ 4, & 6 & 2 & 2\\ 2, & 3 & 2\\ 1, & 3 & 3\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^3 \cdot 3 = 24\\ MDC\,\,\ 2^2 = 4$

$\begin{array}{rr|c|c} & & MMC & MDC \\15, & 45 & 3 & 3\\ 5, & 15 & 3\\ 5, & 5 & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 3^2 \cdot 5 = 45\\ MDC\,\,\ 3 \cdot 5 = 15$

$\begin{array}{rr|c|c} & & MMC & MDC \\20, & 50 & 2 & 2\\ 10, & 25 & 2\\ 5, & 25 & 5 & 5\\ 1, & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^2 \cdot 5^2 = 100\\ MDC\,\,\ 2 \cdot 5 = 10$

$\begin{array}{rr|c|c} & & MMC & MDC \\60, & 100 & 2 & 2\\ 30, & 50 & 2 & 2\\ 15, & 25 & 3\\ 5, & 25 & 5 & 5\\ 1, & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^2 \cdot 3 \cdot 5^2 = 300\\ MDC\,\,\ 2^2 \cdot 5 = 20$