Question

1) Determine o m.d.c. dos números: a) m.d.c (30, 15) = c) m.d.c (3, 15, 12) b) m.d.c (80, 48) = d) m.d.c (20, 6, 14) =​

Answer 1

a) mdc(30 , 15) = 15

30 , 15 | 2

15 , 15 | 3

5 , 5 | 5

1 , 1 mdc = 3 . 5 = 15

b) mdc(80 , 48) = 16

80 , 48 | 2

40 , 24 | 2

20 , 12 | 2

10 , 6 | 2

5 , 3 | 3

5 , 1 | 5

1 , 1 mdc = 2 . 2 . 2 . 2 = 16

c) mdc(3 , 15 , 12) = 3

3 , 15 , 12 | 2

3 , 15 , 6 | 2

3 , 15 , 3 | 3

1 , 5 , 1 | 5

1 , 1 , 1 mdc = 3

d) mdc(20 , 6 , 14) = 2

20 , 6 , 14 | 2

10 , 3 , 7 | 2

5 , 3 , 7 | 3

5 , 1 , 7 | 5

1 , 1 , 7 | 7

1 , 1 , 1 mdc = 2

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