Question

qual é o mdc e o mmc de 192 e 120​

Answer 1

Resposta:

MDC de 192 e 120

Fatoração simultânea

$\left[\begin{array}{cc}192&120\\96&60\\48&30\\24&15\\12&15\\4&5\\1&5\\1&1\end{array}\right] \left[\begin{array}{c}2\\2\\2\\2\\3\\4\\5\\-\end{array}\right]$

MDC de 192 e 120 = 2³ × 3 = 8 × 3 = 24

MMC de 192 e 120

$\left[\begin{array}{cc}192&120\\96&60\\48&30\\24&15\\12&15\\4&5\\1&5\\1&1\end{array}\right] \left[\begin{array}{c}2\\2\\2\\2\\3\\4\\5\\-\end{array}\right]$

MMC de 192 e 120 = 2⁴ × 3 × 4 × 5 = 16 × 3 × 4 × 5 = 960