Question

Determine o mmc e o mdc dos números a seguir A.40 e 64 B. 80, 100 e 120

Answer 1

Resposta:

Explicação passo-a-passo:

a)

40, 64 | 2

20, 32 | 2

10, 16 | 2

5, 8 | 2

5, 4 | 2

5, 2 | 2

5, 1 | 5

1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 2 . 2 . 5 = 320

b)

80, 100, 120 | 2

40, 50, 60 | 2

20, 25, 30 | 2

10, 25, 15 | 2

5, 25, 15 | 3

5, 25, 5 | 5

1, 5, 1 | 5

1, 1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 . 5 . 5 = 1200

Answer 2

Explicação passo-a-passo:

a)

40, 64 | 2

20, 32 | 2

10, 16 | 2

5, 8 | 2

5, 4 | 2

5, 2 | 2

5, 1 | 5

1

• mmc(40, 64) = 2⁶ x 5

mmc(40, 64) = 64 x 5

mmc(40, 64) = 320

• mdc(40, 64) = 2³

mdc(40, 64) = 8

b)

80, 100, 120 | 2

40, 50, 60 | 2

20, 25, 30 | 2

10, 25, 15 | 2

5, 25, 15 | 3

5, 25, 5 | 5

1, 5, 1 | 5

1, 1, 1

• mmc(80, 100, 120) = 2⁴ x 3 x 5²

mmc(80, 100, 120) = 16 x 3 x 25

mmc(80, 100, 120) = 1200

• mdc(80, 100, 120) = 2² x 5

mdc(80, 100, 120) = 4 x 5

mdc(80, 100, 120) = 20