Question

se x = 2².3.5 e y = 2⁴.3².7, então X =

A) m.d.c (x,y) = 210
B) m.d.c (x,y) = 360
C) m.d.c (x,y) = 24
D) m.d.c (x,y) = 5.040

Answer 1

resolução!

$2 {}^{2} \times 3 \times 5 = \\ 4 \times 3 \times 5 = 60 \\ \\ 2 {}^{4} \times 3 {}^{2} \times 7 = \\ 16 \times 9 \times 7 = 1008$

fatorando 60 e 1008 teremos

60 , 1008 / 2__

30 , 504 / 2__

15 , 252 / 2

15 , 126 / 2

15 , 63 / 3__

5 , 21 / 3

5 , 7 / 5

1 , 7 / 7

1 , 1

MDC => 2 * 2 * 3 = 12

MMC => 2 * 2 * 2 * 2 * 3 * 3 * 5 * 7 = 5040