Si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a: * 1 punto 6 4 -2 -6

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Para empezar el maximo común divisor (MCD) de dos números se refiere al número en común que tienen ambos números, entre los cuales pueden ser divididos. En el caso del máximo se refiere al número más alto posible en que ambos números pueden ser divididos.

Para poder saber esto, es necesario anotar los factores en los cuales pueden ser divididos ambos números. Sin embargo, ya que son cantidades altas, puede tomar mucho tiempo determinar esto, por lo tanto nos vamos a la respuesta final.

Sabemos que el MCD de 132 y 6432 es disminuido en 8 unidades, es decir, se le resta 8 al MCD de esos números, y ese número debe coincidir con alguna de las opciones puesta ahí. Por lo tanto, lo que vamos a hacer para resolverlo rápidamente es sumarle 8 a cada una de las opciones y luego, verificaremos si el número obtenido es divisor de 132 y 6432.

Obtención del MCD original:

a) 6 + 8 = 14

b) 4 + 8 = 12

c) 2 + 8 = 6

d) 6 + 8 = 2

Con estos resultados, veamos cual de ellos es el MCD de 132 y 6432.

Para el 6432:

6432 / 2 = 3216

6432 / 6 = 1072

6432 / 12 = 536

6432 / 14 = 459,24

Podemos observar con estos resultados que el 14 queda descartado al tener un resultado decimal, por lo tanto debe ser 2, 6 o 12. Veamos la cuenta con el 132:

Para el 132:

132 / 2 = 66

132 / 6 = 22

132 / 12 = 11

Podemos observar ahora en este caso que el 132 es divisible entre 12, por lo tanto, es el MCD entre 132 y 6432, asi que se concluye que el resultado de disminuir por 8 el MCD de ambos números es:

12 - 8 = 4

Exitos

Answer 2

Por definición de máximo común divisor,

MCD

Se denomina máximo común divisor o MCD al mayor número que divide exactamente a dos o más números a la vez. Es decir, MCD de dos o más números es el mayor número que divide a todos de manera exacta.

En otras palabras, el máximo común divisor o MCD es la cifra más alta por la cual se puede dividir un conjunto de números, dando como resultado un número entero.

Recordar que un divisor puede definirse formalmente como aquel número que está contenido en otro de forma exacta una cantidad n de veces.

Cálculo de MCD

Para calcular el máximo común divisor de dos o más números, en primer lugar se debe descomponer esos números en factores primos.

La descomposición de un número en factores primos es encontrar los números primos que se multiplican para formar ese número, recordando que los números primos son aquellos que solo se dividen por sí mismos y por 1.

El máximo común divisor se obtiene escogiendo solo los factores primos comunes a los números, elevados al menor exponente. Es decir, se debe elegir solo los factores comunes, y los que se repitan son elegidos elevados a la mínima potencia.

Este caso

La descomposición en factores primos es:

6432= 2⁵×3×67

132= 2²×3×11

Entonces, el MCD es calculado como:

MCD (6432, 132)= 2²×3

MCD (6432, 132)= 12

Por último, el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, por lo que:

12 - 8= 4

En resumen, si el máximo común divisor (MCD) de 6432 y 132 disminuye en 8, entonces será igual a 4.

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Arial
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Answers

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3

Step-by-step explanation:

8x2+4y÷z

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Which of the following could be the width and length
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A 2-meter wide and ź-meters long
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Given that, Danah is planting a second strawberry patch and wants it to have an area of exactly 1 square meter.

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