Matemática, perguntado por joao478, 10 meses atrás

11. m dc(125.250.300)
12.m.d.c(129,258,512)
13. mdc (81.241.729)
14. mdc. (250.350.400)
15. mdc . 24.48,90,144)
16.mdc (20,75, 150.300)
17. mdc. (20,40,60.80)
18.m.d.c(36.72.84.100)
19. mdc(18.36 48 956)
20. mdc78.46.70,140)​

Soluções para a tarefa

Respondido por valterbl
1

Oi...

MDC são fatores comuns de menores expoentes.

O MDC de:

11. (125, 250, 300)

125, 250, 300 | 2

125, 125, 150 | 2

125, 125, 75 | 3

125, 125, 25 | 5

25, 25, 5 | 5

5, 5, 1 | 5

1, 1, 1

MDC = 5 . 5 = 25

MDC = 25

12. (129, 258, 512)

129, 258, 512 | 2

129, 129, 256 | 2

129, 129, 128 | 2

129, 129, 64 | 2

129, 129, 32 | 2

129, 129, 16 | 2

129, 129, 8 | 2

129, 129, 4 | 2

129, 129, 2 | 2

129, 129, 1 | 3

43, 43, 1 | 43

1, 1, 1

MDC = 1

13. (81, 241, 729)

81, 241, 729 | 3

27, 241, 243 | 3

9, 241, 81 | 3

3, 241, 27 | 3

1, 241, 9 | 3

1, 241, 3 | 3

1, 241, 1 | 241

1, 1, 1

MDC = 1

14. (250, 350, 400)

250, 350, 400 | 2

125, 175, 200 | 2

125, 175, 100 | 2

125, 175, 50 | 2

125, 175, 25 | 5

25, 35, 5 | 5

5, 7, 1 | 5

1, 7, 1 | 7

1, 1, 1

MDC = 2 . 5 . 5 = 50

MDC = 50

15. (24, 48, 90, 144)

24, 48, 90, 144 | 2

12, 24, 45, 72 | 2

6, 12, 45, 36 | 2

3, 6, 45, 18 | 2

3, 3, 45, 9 | 3

1, 1, 15, 3 | 3

1, 1, 5, 1 | 5

1, 1, 1, 1

MDC = 2 . 3 = 6

MDC = 6

16. (20, 75, 150, 300)

20, 75, 150, 300 | 2

10, 75, 75, 150 | 2

5, 75, 75, 75 | 3

5, 25, 25, 25 | 5

1, 5, 5, 5 | 5

1, 1, 1, 1

MDC = 5

17. (20, 40, 60, 80)

20, 40, 60, 80 | 2

10, 20, 30, 40 | 2

5, 10, 15, 20 | 2

5, 5, 15, 10 | 2

5, 5, 15, 5 | 3

5, 5, 5, 5 | 5

1, 1, 1, 1

MDC = 2 . 2 . 5 = 20

MDC = 20

18. (36, 72, 84, 100)

36, 72, 84, 100 | 2

18, 36, 42, 50 | 2

9, 18, 21, 25 | 2

9, 9, 21, 25 | 3

3, 3, 7, 25 | 3

1, 1, 7, 25 | 5

1, 1, 7, 5 | 5

1, 1, 7, 1 | 7

1, 1, 1, 1

MDC = 2 . 2 = 4

MDC = 4

19. (18, 36, 48, 956)

18, 36, 48, 956 | 2

9, 18, 24, 478 | 2

9, 9, 12, 239 | 2

9, 9, 6, 239 | 2

9, 9, 3, 239 | 3

3, 3, 1, 239 | 3

1, 1, 1, 239 | 239

1, 1, 1, 1

MDC = 2

20. (78, 46,70, 140)

78, 46, 70, 140 | 2

39, 23, 35, 70 | 2

39, 23, 35, 35 | 3

13, 23, 35, 35 | 5

13, 23, 7, 7 | 7

13, 23, 1, 1 | 13

1, 23, 1, 1 | 23

1, 1, 1, 1

MDC = 2

Espero ter ajudado.​

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