Question

Calcule o MDC pela decomposição simultânea:(A) 60 e 80 (B) 100,200 e 250 (C) 36 e 90 (D) 425,800 e 950 (E)108,132 e 180.​

Answer 1

Olá.

a) MDC 60 e 80 = 20

MDC

60,80 I 2✓

30,40 I 2✓

15,20 I 2

15,10 I 2

15,5 I 3

5, 5 I 5✓

1 , 1 I / 2 . 2 . 5 = 20

b) MDC 100,200 e 250

MDC

100,200,250 I 2✓

50,100,125 I 2

25,50,125 I 2

25,25,125 I 5✓

5,5,25 I 5✓

1, 1 , 5 I 5

1 , 1 , 1 I / 2 . 5 . 5 = 50

c) MDC 36 e 90 = 18

MDC

36,90 I 2✓

18,45 I 2

9, 45 I 3✓

3,15 I 3✓

1,5 I 5

1,1 I / 2 . 3 . 3 = 18

d) MDC 425,800 e 950 = 25

MDC

425,800,950 I 2

425,400,475 I 2

425,200,475 I 2

425,100,475 I 2

425,50,475 I 2

425,25,475 I 5✓

85,5,95 I 5✓

17,1,19 I 17

1,1,19 I 19

1,1,1 I / 5 . 5 = 25

e) MDC 108,132 e 180 = 12

MDC

108,132,180 I 2✓

54,66,90 I 2✓

27,33,45 I 3✓

9, 11, 15 I 3

3, 11, 15 I 3

1, 11, 15 I 11

1, 1, 15 I 15

1, 1, 1, I / 2 . 2 . 3 = 12