Question

DETERMINE O MDC DE
A] MDC [18,25]
B]MDC [14,21]
C] MDC [14,16,18]
D] MDC [16,21,25]

Answer 1

Vamos lá...

Calculando o MDC de:

a)

18,25/2

9,25/3

3,25/3

1,25/5

1,5/5

1,1

MDC = 1

b)

14,21/2

7,21/3

7,7/7

1,1

MDC = 7

c)

14,16,18/2

7,8,9/2

7,4,9/2

7,2,9/2

7,1,9/3

7,1,3/3

7,1,1/7

1,1,1

MDC = 2

d)

16,21,25/2

8,21,25/2

4,21,25/2

2,21,25/2

1,21,25/3

1,7,25/5

1,7,5/5

1,7,1/7

1,1,1

MDC = 1

Bons estudos.

Answer 2

18 | 2

9 | 3

3 | 3

1 |

18 = 2 . 3²

25 | 5

5 | 5

1 |

25 = 5²

O maior número que divide 25 e 18 é o número 1, repare que não existem divisores comuns a não ser 1, logo o MDC (18 e 25) =1

a)

18,25/2

9,25/3

3,25/3

1,25/5

1,5/5

1,1

MDC = 1

b)

14,21/2

7,21/3

7,7/7

1,1

MDC = 7

c)

14,16,18/2

7,8,9/2

7,4,9/2

7,2,9/2

7,1,9/3

7,1,3/3

7,1,1/7

1,1,1

MDC = 2

d)

16,21,25/2

8,21,25/2

4,21,25/2

2,21,25/2

1,21,25/3

1,7,25/5

1,7,5/5

1,7,1/7

1,1,1

MDC = 1

espero ter ajudado:]