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Ejercicios con MCM y MCD

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Ejercicios con MCM y MCD
 

Ejercicios con MCM y MCDOnline version

Resuelve y escoge la respuesta correcta.

by LEONARDO BOGOYA ROSAS
1

Encuentra el mcm de 12 y 18.

2

¿Cuál es el mcd de 48 y 180?

3

Si la fracción 18/24 se simplifica, ¿cuál es el numerador?

4

El mcm de 7 y 9.

5

El mcd de 21 y 28.

6

El mcm de 6 y 8.

7

El mcd de 81 y 27.

8

¿Cuál es el mcm de 15 y 20?

9

El gcd de 100 y 25.

10

El mcm de 9 y 12.

Explicación

36 es el menor múltiplo común; 24 y 30 no son múltiplos de ambos, 72 es un múltiplo mayor.

12 es el mayor divisor común; 6 carece de algunos factores, 24 y 18 no son divisores de ambos.

Divides por el gcd(18,24)=6; 18/24 = 3/4, numerador 3.

7 y 9 son primos entre sí; su mcm es 7×9=63.

7 es el mayor divisor común; 14 es mayor que 7 pero no divide a 21.

Factorizando: 6=2×3, 8=2^3; mcm=2^3×3=24.

27 divide a 81 y 27; 9 y 3 son divisores menores.

20=2^2×5, 15=3×5; mcm=2^2×3×5=60.

100 y 25 comparten 25 como máximo divisor común.

9=3^2, 12=2^2×3; mcm=2^2×3^2=36.

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