Question

calcule a) m.d.c.(20,30)b)m.d.c.(16,20) c) m.m.c.(11,55) d) m.m.c.(25,50) conta completa por favor e por múltiplos sem ser fatorado por favor ​

Answer 1

Resposta:

Explicação passo-a-passo:

a) m.d.c.(20,30)

$\begin{array}{rr|c|c} & & MMC & MDC \\20, & 30 & 2 & 2\\ 10, & 15 & 2\\ 5, & 15 & 3\\ 5, & 5 & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^2 \cdot 3 \cdot 5 = 60\\ MDC\,\,\ 2 \cdot 5 = 10$

b)m.d.c.(16,20)

$\begin{array}{rr|c|c} & & MMC & MDC \\16, & 20 & 2 & 2\\ 8, & 10 & 2 & 2\\ 4, & 5 & 2\\ 2, & 5 & 2\\ 1, & 5 & 5\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 2^4 \cdot 5 = 80\\ MDC\,\,\ 2^2 = 4$

c) m.m.c.(11,55)

$\begin{array}{rr|c|c} & & MMC & MDC \\11, & 55 & 5\\ 11, & 11 & 11 & 11\\ 1, & 1\\ \end{array}\\ MMC\,\,\ 5 \cdot 11 = 55\\ MDC\,\,\ 11 = 11$

d) m.m.c.(25,50)

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