Matemática, perguntado por vitoriaheloizasilva1, 11 meses atrás

A) Mmc e mdc de 114 450 256
B) Mmc e mdc de 81 441 196
C) Mmc e mdc de 100 252 576
D) Mmc e mdc de 450 100 225

Soluções para a tarefa

Respondido por valterbl
1

Olá...

a) MMC e MDC = 114 450 256

114, 450, 256 | 2

57, 225, 128 | 2

57, 225, 64 | 2

57, 225, 32 | 2

57, 225, 16 | 2

57, 225, 8 | 2

57, 225, 4 | 2

57, 225, 2 | 2

57, 225, 1 | 3

19, 75, 1 | 3

19, 25, 1 | 5

19, 5, 1 | 5

19, 1, 1 | 19

1, 1, 1

MMC = 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 3 . 3 . 5 . 5 . 19 = 1094400

MDC = 2

b) MMC e MDC = 81 441 196  

81, 441, 196 | 2

81, 441, 98 | 2

81, 441, 49 | 3

27, 147, 49 | 3

9, 49, 49 | 3

3, 49, 49 | 3

1, 49, 49 | 7

1, 7, 7 | 7

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 3 . 3 . 7 . 7 = 15876

MDC = 1

c) MMC e MDC = 100 252 576

100, 252, 576 | 2

50, 126, 288 | 2

25, 63, 144 | 2

25, 63, 72 | 2

25, 63, 36 | 2

25, 63, 18 | 2

25, 63, 9 | 3

25, 21, 3 | 3

25, 7, 1 | 5

5, 7, 1 | 5

1, 7, 1 | 7

1, 1, 1

MMC = 2 . 2 . 2 . 2 . 2 . 2 . 3 . 3 . 5 . 5 . 7 = 100800

MDC = 2 . 2 = 4

d) MMC e MDC = 450 100 225

450, 100, 225 | 2

225, 50, 225 | 2

225, 25, 225 | 3

75, 25, 75 | 3

25, 25, 25 | 5

5, 5, 5 | 5

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 5 . 5 = 900

MDC = 5 . 5 = 25

Espero ter ajudado.


vitoriaheloizasilva1: Muito obrigada
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