Question

1 - Calcule o M.M.C
A) M.M.C(10,6)
B )M.M.C(18,8)
C)M.M.C (16,40,20)
D)M.M.C (1,8)
2- Calcule o M.d.c
A)m.d.c (36,60)
B)m.d.c (30,45)
C)m.d.c (4,9)
D)m.d.c (15,8)

Answer 1

M.M.C

10,6 | 2
5,3 | 3
5,1 | 5
1, 1 |

2 x 3 x 5 = 30

18,8 | 2
9,4 | 2
9,2 | 2
9,1 | 3
3,1 | 3
1,1 |

2 x 2 x 2 x 3 x 3 = 72

16, 40 , 20 | 2
8, 20, 10 | 2
4, 10, 5 | 2
2, 5 , 5 | 2
1, 5 , 5 | 5
1 , 1 , 1

2 x 2 x 2 x 2 x 5 = 80


1, 8 | 2
1 , 4 | 2
1, 2 | 2
1, 1 |

2 x 2 x 2 = 8

M.D.C

36,60 | 2
18,30 | 2
9, 15 | 3
3 , 5 | 3
1, 5 | 5
1 , 1

2 x 2 x 3 = 12

30, 45 | 5
6 , 9 | 3
2 , 3 | 2
1, 3 | 3
1 , 1

3 x 5 = 15

4, 9 | 3
4, 3 | 2
2, 3 | 2
1, 3 | 3
1, 1 | 1


Divisores de 4 = 1, 2 e 4
Divisores de 9 = 1, 3 e 9

MDC de 4 e 9 é 1


15, 8 | 2
15, 4 | 2
15, 2 | 2
15, 1 | 3
5 , 1 | 5
1, 1 | 1

O máximo divisor comum entre 15 e 8 é o 1

Divisores de 15 = 1, 3, 5 e 15
Divisores de 8 = 1, 2, 4 e 8