Question

calcule o m.m.c e o m.d.c dos seguintes números

A) 35,20,10

B) 20,40,50

C) 15,25,50

D) 45,50,80

E) 18,36,50

F) 28,15,30​

Answer 1

Oi.....

Resolução:

O MMC e MDC de:

a) 35,20,10

35, 20, 10 | 2

35, 10, 5 | 2

35, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1  

MMC = 2 . 2 . 5 . 7 = 140

MMC = 140

MDC = 5

b) 20,40,50

20, 40, 50 | 2

10, 20, 25 | 2

5, 10, 25 | 2

5, 5, 25 | 5

1, 1, 5 | 5

1, 1, 1

MMC = 2 . 2 . 2 . 5 . 5 = 200

MMC = 200

MDC = 2 . 5 = 10

MDC = 10

c) 15,25,50

15, 25, 50 | 2

15, 25, 25 | 3

5, 25, 25 | 5

1, 5, 5 | 5

1, 1, 1

MMC = 2 . 3 . 5 . 5 = 150

MMC = 150

MDC = 5

d) 45,50,80

45, 50, 80 | 2

45, 25, 40 | 2

45, 25, 20 | 2

45, 25, 10 | 2

45, 25, 5 | 3

15, 25, 5 | 3

5, 25, 5 | 5

1, 5, 1 | 5

1, 1, 1

MMC = 2 . 2 . 2 . 2 . 3 . 3 . 5 . 5 = 3600

MMC = 3600

MDC = 5

e) 18,36,50

18, 36, 50 | 2

9, 18, 25 | 2

9, 9, 25 | 3

3, 3, 25 | 3

1, 1, 25 | 5

1, 1, 5 | 5

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 5 . 5 = 900

MMC = 900

MDC = 2

f) 28,15,30​

28, 15, 30 | 2

14, 15, 15 | 2

7, 15, 15 | 3

7, 5, 5 | 5

7, 1, 1 | 7

1, 1, 1

MMC = 2 . 2 . 3 . 5 . 7 = 420

MMC = 420

MDC = 1

Espero ter ajudado.