Question

calcule:

a)mdc(180,150).
b)mdc(135,170)
c)mdc(12,18)
d)mdc(90,180)​

Answer 1

Olá...

MDC = Máximo Divisor Comum

São fatores comuns de menores expoentes.

O MDC de:

a) (180, 150)

180, 150 | 2

90, 75 | 2

45, 75 | 3

15, 25 | 3

5, 25 | 5

1, 5 | 5

1, 1

MDC = 2 . 3 . 5 = 30

MDC = 30

b) (135, 170)

135, 170 | 2

135, 85 | 3

45, 85 | 3

15, 85 | 3

5, 85 | 5

1, 17 | 17

1, 1  

MDC = 5

c) (12, 18)

12, 18 | 2

6, 9 | 2

3, 9 | 3

1, 3 | 3

1, 1

MDC = 2 . 3 = 6

MDC = 6

d) (90, 180)​

90, 180 | 2

45, 90 | 2

45, 45 | 3

15, 15 | 3

5, 5 | 5

1, 1

MDC =  2 . 3 . 3 . 5 = 90

MDC = 90

Espero ter ajudado.