Question

1. Determine:
a) mmc (175,24) e mdc (175,24)

b) mmc ( 36, 24) e mdc ( 36,24)

c) mmc (150,21) e mdc (150, 21)

d) mmc (32,21) e mdc ( 32, 21)​

Answer 1

Bom dia !

M.M.C :

175 , 24 | 2

175 , 12 | 2

175 , 6 | 2

175 , 3 | 3

175 , 1 | 5

35 , 1 | 5

7 , 1 | 7

1 , 1 | 2 × 2 × 2 × 3 × 5 × 5 × 7 = 4200

M.D.C :

175 , 24 | 2

175 , 12 | 2

175 , 6 | 2

175 , 3 | 3

175 , 1 | 5

35 , 1 | 5

7 , 1 | 7

1 , 1 | 1

=========================

M.M.C :

36 , 24 | 2

18 , 12 | 2

9 , 6 | 3

3 , 2 | 2

3 , 1 | 3

1 , 1 | 2 × 2 × 3 × 2 × 3 = 72

M.D.C :

36 , 24 | 2

18 , 12 | 2

9 , 6 | 3

3 , 2 | 2

3 , 1 | 3

1 , 1 | 2 × 2 × 3 = 12

=========================

M.M.C :

150 , 21 | 2

75 , 21 | 5

15 , 21 | 5

3 , 21 | 3

1 , 7 | 7

1 , 1 | 2 × 5 × 5 × 3 × 7 = 1050

M.D.C :

150 , 21 | 2

75 , 21 | 5

15 , 21 | 5

3 , 21 | 3

1 , 7 | 7

1 , 1 | 3

=========================

M.M.C :

32 , 21 | 3

12 , 7 | 2

6 , 7 | 2

3 , 7 | 3

1 , 7 | 7

1 , 1 | 3 × 2 × 2 × 3 × 7 = 252

M.D.C :

32 , 21 | 2

16 , 21 | 2

8 , 7 | 2

4 , 7 | 2

2 , 7 | 2

1 , 7 | 7

1 , 1 | 1

Um grande abraço !

Answer 2

Resposta:

M.M.C :

175 , 24 | 2

175 , 12 | 2

175 , 6 | 2

175 , 3 | 3

175 , 1 | 5

35 , 1 | 5

7 , 1 | 7

1 , 1 | 2 × 2 × 2 × 3 × 5 × 5 × 7 = 4200

M.D.C :

175 , 24 | 2

175 , 12 | 2

175 , 6 | 2

175 , 3 | 3

175 , 1 | 5

35 , 1 | 5

7 , 1 | 7

1 , 1 | 1

=========================

M.M.C :

36 , 24 | 2

18 , 12 | 2

9 , 6 | 3

3 , 2 | 2

3 , 1 | 3

1 , 1 | 2 × 2 × 3 × 2 × 3 = 72

M.D.C :

36 , 24 | 2

18 , 12 | 2

9 , 6 | 3

3 , 2 | 2

3 , 1 | 3

1 , 1 | 2 × 2 × 3 = 12

=========================

M.M.C :

150 , 21 | 2

75 , 21 | 5

15 , 21 | 5

3 , 21 | 3

1 , 7 | 7

1 , 1 | 2 × 5 × 5 × 3 × 7 = 1050

M.D.C :

150 , 21 | 2

75 , 21 | 5

15 , 21 | 5

3 , 21 | 3

1 , 7 | 7

1 , 1 | 3

=========================

M.M.C :

32 , 21 | 3

12 , 7 | 2

6 , 7 | 2

3 , 7 | 3

1 , 7 | 7

1 , 1 | 3 × 2 × 2 × 3 × 7 = 252

M.D.C :

32 , 21 | 2

16 , 21 | 2

8 , 7 | 2

4 , 7 | 2

2 , 7 | 2

1 , 7 | 7

1 , 1 | 1

Um grande abraço !