Question

Calcule o mdc:
A) 180,240 e 270
B) 400 e 320
C) 150 e 120
D)168 e 180
E) 30, 36 e 42

Answer 1

Resposta:

a) 180, 240, 270|2

90, 120, 135 |2

45, 60, 135 |2

45, 30, 135 |2

45, 15, 135 |3

15, 5, 45 |3

5, 5, 15 |3

5, 5, 5 |5

1, 1, 1

mdc = 2 • 3 • 5 = 30

b) 400, 320|2

200, 160 |2

100, 80 |2

50, 40 |2

25, 20 |2

25, 10 |2

25, 5 |5

5, 1 |5

1, 1

mdc = 2⁴ • 5 = 80

c) 150, 120|2

75, 60 |2

75, 30 |2

75, 15 |3

25, 5 |5

5, 1 |5

1, 1

mdc = 2 • 3 • 5 = 30

d) 168, 180|2

84, 90 |2

42, 45 |2

21, 45 |3

7, 15 |3

7, 5 |5

7, 1 |7

1, 1

mdc = 2 • 2 • 3 = 12

e) 30, 36, 42|2

15, 18, 20 |2

15, 9, 10 |2

15, 9, 5 |3

5, 3, 5 |3

5, 1, 5 |5

1, 1, 1

mdc = 2 • 3 = 6