Question

encontre o MDC:
a)28-45-7
b)200-50-100
c)100-5-8
d)3-12-45
e)29-37-17
f)102-28-40
g)33-11-44
h)102-25-200
please é pra amanhã ​

Answer 1

Olá....

MDC = Máximo Divisor Comum.

São fatores comuns de menores expoentes.

O MDC de:

a) (28, 45, 7)

28, 45, 7 | 2

14, 45, 7 | 2

7, 45, 7 | 3

7, 15, 7 | 3

7, 5, 7 | 5

7, 1, 7 | 7

1, 1, 1

MDC = 1

b) (200, 50, 100)

200, 50, 100 | 2

100, 25, 50 | 2

50, 25, 25 | 2

25, 25, 25 | 5

5, 5, 5 | 5

1, 1, 1

MDC = 2 . 5 . 5 = 50

MDC = 50

c) (100, 5, 8)

100, 5, 8 | 2

50, 5, 4 | 2

25, 5, 2 | 2

25, 5, 1 | 5

5, 1, 1 | 5

1, 1, 1

MDC = 1

d) (3, 12, 45)

3, 12, 45 | 2

3, 6, 45 | 2

3, 3, 45 | 3

1, 1, 15 | 3

1, 1, 5 | 5

1, 1, 1

MDC = 3

e) (29, 37, 17)

29, 37, 17 | 17

29, 37, 1 | 29

1, 37, 1 | 37

1, 1, 1

MDC = 1

f) (102, 28, 40)

102, 28, 40 | 2

51, 14, 20 | 2

51, 7, 10 | 2

51, 7, 5 | 3

17, 7, 5 | 5

17, 7, 1 | 7

17, 1, 1 | 17

1, 1, 1

MDC = 2

g) (33, 11, 44)

33, 11, 44 | 2

33, 11, 22 | 2

33, 11, 11 | 3

11, 11, 11 | 11

1, 1, 1

MDC = 11

h)  (102, 25, 200)

102, 25, 200 | 2

51, 25, 100 | 2

51, 25, 50 | 2

51, 25, 25 | 3

17, 25, 25 | 5

17, 5, 5 | 5

17, 1, 1 | 17

1, 1, 1

MDC = 1

Espero ter ajudado.