Question

a) MDC ( 16 e 40)=

b) MDC ( 28 e 81) =

c) MDC ( 18 e 24) =

d) MDC ( 15 e 20) =

Answer 1

a) 16, 40 | 2

8, 20 | 2

4, 10 | 2

2, 5 | 2

1, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 5 = 80

MDC(16, 40) = 2³ = 8

b) 28, 81 | 2

14, 81 | 2

7, 81 | 3

7, 27 | 3

7, 9 | 3

7, 3 | 3

7, 1 | 7

1, 1 | 1

MMC = 2 . 2 . 3 . 3 . 3 . 3 . 7 = 2268

MMC(28, 81) = 2² . 3⁴ . 7 = 2268

c) 18, 24 | 2

9, 12 | 2

9, 6 | 2

9, 3 | 3

3, 1 | 3

1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 3 = 72

MDC(18, 24) = 2 . 3 = 6

d) 15, 20 | 2

15, 10 | 2

15, 5 | 3

5, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 3 . 5 = 60

MDC(15, 20) = 5