Question

5. Utilizando o método da fatoração, calcule o máximo
l
divisor comum dos
e) 15 e 400
c) 45 e 60
b) 18 e 50
d) 120 e 150​

Answer 1

Olá...

O MDC de:

e) 15, 400

15, 400 | 2

15, 200 | 2

15, 100 | 2

15, 50 | 2

15, 25 | 3

5, 25 | 5

1, 5 | 5

1, 1

MDC = 5

c) 45, 60

45, 60 | 2

45, 30 | 2

45, 15 | 3

15, 5 | 3

5, 5 | 5

1, 1

MDC =3 . 5 = 15

MDC = 15

b) 18, 50

18, 50 | 2

9, 25 | 3

3, 25 | 3

1, 25 | 5

1, 5 | 5

1, 1

MDC = 2

d) 120, 150

120, 150 | 2

60, 75 | 2

30, 75 | 2

15, 75 | 3

5, 25 | 5

1, 5 | 5

1, 1

MDC = 2 . 3 . 5 = 30

MDC = 30

Espero ter ajudado.