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Jerarquía y aplicaciones de MCD y MCM

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Jerarquía y aplicaciones de MCD y MCM

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About this activity

Operaciones y problemas prácticos

Created by

Dalila Echeverria
Dalila Echeverria
Mexico

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Jerarquía y aplicaciones de MCD y MCM
 

Jerarquía y aplicaciones de MCD y MCMOnline version

Operaciones y problemas prácticos

by Dalila Echeverria
1

¿Qué indica el MCD de dos números?

2

¿Qué indica el MCM de dos números?

3

Calcula MCD(48, 180).

4

Si x = MCD(14,21) y y = MCM(14,21), ¿x+y?

5

¿Cuál es el MCM de 12 y 18?

6

MCM de 8 y 12 es…

7

¿Calcular: (3 + 6) × 2?

8

Evaluar: 100 ÷ 5 × 2?

9

El resultado es:

10

Dos equipos de trabajo están organizando sus horarios. El primer equipo tiene 36 miembros y el segundo equipo tiene 48 miembros. Quieren dividirse en grupos iguales sin dejar a nadie fuera. ¿Cuál es el tamaño máximo de cada grupo?

Explicación

El MCD es el mayor número que divide a ambos sin dejar resto.

El MCM es el menor múltiplo que es común a ambos números.

144no es múltiplo común; 12 es el mayor divisor de ambos.

MCD=7; MCM=42; 7+42=49.

MCM = 2^2·3^2 = 36; 12 y 18 comparten factores.

8=2^3, 12=2^2·3; MCM = 2^3·3 = 8·3 = 24.

Paréntesis primero: 3+6=9; 9×2=18.

Division y multiplicación se realizan de izquierda a derecha: (100÷5)=20; 20×2=40.

 
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