Question

5. Utilizando o processo simplificado, calcule
a) MDC (25, 10)
b) MDC 32,40)
C) MDC (25,50)
) MOC 18.25
e MDC (75.90.105)​

Answer 1

Resposta:

MDC (25, 10) = 5

MDC (32, 40) = 8

MDC (25, 50) = 25

MDC (18, 25) = 1

MDC (75, 90, 105) = 15?

Explicação passo-a-passo:

25, 10 | 2

25, 5 | 5

5, 1 | 5

1, 1

________

32, 40 | 2

16, 20 | 2

08, 10 | 2

04, 05 | 2

02, 05 | 2

01, 05 | 5

01, 01

MDC (32, 40) =

MDC (32, 40) = 2 . 2 . 2

MDC (32, 40) = 8

___________________

25 , 50 | 5

05 , 10 | 5

01 , 02

Mdc (25 , 50) = 5 × 5 = 25

_____________________

18 | 2

9 | 3

3 | 3

1 |

18 = 2 . 3²

25 | 5

5 | 5

1 |

25 = 5²

_________

75|3

25|5

5|5

90|2

45|3

15|3

5|

105|3

35|5

7|7

MDC (75,90,105)=3.5=15