Question

Recompensa: 40 pontos:

Gincana da tarde:

I) Calcule o MMC e o MDC dos números abaixo:

a) 18 e 60
b) 210 e 462

Boa sorte (｡•̀ᴗ-)✧
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Answer 1

Resposta:

Explicação passo-a-passo:

18,60/_2

9,30/2

9,15/_3

3,5/3

1,5/5

1

Mmc 2²*3²*5=36*5=>180

Mdc 2*3=6

210 ,462/_2

105,231/_3

35, 77/5

7,77/7

1,7/7

1

Mmc=7²*5*3*2=>49*30=1470

Mdc =6

Answer 2

a) MMC:

18, 60 | 2

9, 30 | 2

9, 15 | 3

3, 5 | 3

1, 5 | 5

1, 1 |

Forma fatorada: 2² × 3² × 5 = 180

MDC:

D(18) = {1, 2, 3, 6, 9, 18}

D(60) = {1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60}

Resposta: 6

b) MMC:

210, 462 | 2

105, 231 | 3

35, 77 | 5

7, 77 | 7

1, 11 | 11

1, 1 |

Forma fatorada: 2 × 3 × 5 × 7 × 11 = 2.310

MDC:

D(210) = {1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210}

D(462) = {1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462}

Resposta: 42