Question

3) Calcule o MDC de:
a) 45, 54 e 55.
b) 12, 20 e 38
c) 58 e 84
d) 150 e 250

Answer 1

Olá...

MDC são fatores comuns de menores expoentes:

a) (45, 54, 55)

45, 54, 55 | 2

45, 27, 55 | 3

15, 9, 55 | 3

5, 3, 55 | 3

5, 1, 55 | 5

1, 1, 11 | 11

1, 1, 1

MDC = 1

b) (12, 20, 38)

12, 20, 38 | 2

6, 10, 19 | 2

3, 5, 19 | 3

1, 5, 19 | 5

1, 1, 19 | 19

1, 1, 1

MDC = 2

c) (58, 84)

58, 84 | 2

29, 42 | 2

29, 21 | 3

29, 7 | 7

29, 1 | 29

1, 1

MDC = 2

d) (150, 250)

150, 250 | 2

75, 125 | 3

25, 125 | 5

5, 25 | 5

1, 5 | 5

1, 1

MDC = 2 . 5 . 5 = 50

MDC = 50

Bons estudos