Question

exercício 1: Determina o m.d.c. e o m.m.c. dos pares de números seguintes.
a) 12 e 20
b) 48 e 60
c) 9 e 45
d) 80 e 120​

Answer 1

Explicação passo-a-passo:

a) 12 e 20

12,20/2

6,10/2

3,5/3

1,5/5

1,1/__|

mdc(12,20)=2.2

mdc(12,20)=4

mmc(12,20)=2.2.3.5

mmc(12,20)=60

b) 48 e 60

48,60/2

24,30/2

12,15/3

4,5/2

2,5/2

1,5/5

1,1/__

mdc(48,60)=2.2.3

mdc(48,60)=12

mmc(48,60)=2⁴.3.5

mmc(48,60)=16.15

mmc(48,60)=240

c) 9 e 45

9,45/3

3,15/3

1,5/5

1,1/__

mdc(9,45)=3.3

mdc(9,45)=9

mmc(9,45)=3.3.5

mmc(9,45)=45

d) 80 e 120

80/120/2

40,60/2

20,30/2

10,15/5

2,3/2

1,3/3

1,1/__

mdc(80,120)=2.2.2.5

mdc(80,120)=40

mmc(80,120)=2⁴.3.5

mmc(80,120)=240

Espero ter ajudado!