Question

1) Calcule o mdc dos números abaixo:

b) 16 e 80

c) 50 e 100

a) 20 e 100​

Answer 1

a) mdc(50,100) = 50

50, 100 | 2

25, 50 | 2

25, 25 | 5

5, 5 | 5

1, 1 mdc(50,100) = 2 x 5 x 5 = 50

b) mdc(16, 80) = 16

16, 80 | 2

8, 40 | 2

4, 20 | 2

2, 10 | 2

1, 5 | 5

1, 5 mdc(16, 80) = 2 x 2 x 2 x 2 = 16

c) mdc(72, 216) = 72

72, 216 | 2

36, 108 | 2

18, 54 | 2

9, 27 | 3

3, 9 | 3

1, 3 | 3

1, 1 mdc(72,216) = 2 x 2 x 2 x 3 x 3 = 72

d) mdc(20, 100) = 20

20, 100 | 2

10, 50 | 2

5, 25 | 5

1, 5 | 5

1, 1 mdc(20, 100) = 2 x 2 x 5 = 20