Question

3) Determine o mmc e o mdc dos números a
seguir
a) 40 e 64

b) 80, 100 e 120​

Answer 1

Resposta:

a) mmc = 320 & mdc = 8

b) mmc = 1200 & mdc = 20

Desenvolvimento:

a)

40, 64 | 2

20, 32 | 2

10, 16  | 2

5,  8   | 2

5,  4   | 2

 5, 2   | 2

 5, 1    | 5

  1, 1

mmc = 2 x 2 x 2 x 2 x 2 x 2 x 5 = 320

mdc = 2 x 2 x 2 = 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 = 2 x 2 x 2 x 2 x 3 x 5 x 5 = 1200

mdc = 2 x 2 x 5 = 20