Question

Sendo A = 2³ . 3² . 5 . 11; B = 2 . 3³ . 5² . 7, calcule o seu mdc.

A) 9

B) 90

C) 6

D) 45

Answer 1

Resposta:

letra b) 90

Explicação passo-a-passo:

A = 2³ . 3² . 5 . 11=

8 . 9 . 55

72 . 55=

3960

B = 2 . 3³ . 5² . 7 =

2 . 27 . 25 . 7=

54 . 175 =

9450

* Os fatores de 3960 são 1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960;

* Os fatores de 9450 são 1,2,3,5,6,7,9,10,14,15,18,21,25,27,30,35,42,45,50,54,63,70,75,90,105,126,135,150,175,189,210,225,270,315,350,378,450,525,630,675,945,1050,1350,1575,1890,3150,4725,9450.

O MDC de 3960,9450 é 90