Question

Use o Método da divisão sucessiva de grade e encontre o mdc de:

A) 180,240

B) 25,20

C) 112,49

D) 180,32

E) 12,18

F) 64,50

G) 30,42

POR FAVOR FAZER MONTADO!

Answer 1

Oi....

O MDC de :

A) 180,240

180, 240 | 2

90, 120 | 2

45, 60 | 2

45, 30 | 2

45, 15 | 3

15, 5 | 3

5, 5 | 5

1, 1

MDC = 2 . 2 3 . 5 = 60

MDC = 60

B) 25,20

25, 20 | 2

25, 10 | 2

25, 5 | 5

5, 1 | 5

1, 1

MDC = 5

C) 112,49

112, 49 | 2

56, 49 | 2

28, 49 | 2

14, 49 | 2

7, 49 | 7

1, 7 | 7

1, 1

MDC = 7

D) 180,32

180, 32 | 2

90, 16 | 2

45, 8 | 2

45, 4 | 2

45, 2 | 2

45, 1 | 3

15, 1 | 3

5, 1 | 5

1, 1

MDC = 2 . 2 = 4

MDC = 4

E) 12,18

12, 18 | 2

6, 9 | 2

3, 9 | 3

1, 3 | 3

1, 1

MDC = 2 . 3 = 6

MDC = 6

F) 64,50

64, 50 | 2

32, 25 | 2

16, 25 | 2

8, 25 | 2

4, 25 | 2

2, 25 | 2

1, 25 | 5

1, 5 | 5

1, 1

MDC = 2

G) 30,42

30, 42 | 2

15, 21 | 3

5, 7 | 5

1, 7 | 7

1, 1

MDC = 2 . 3 = 6

MDC = 6

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