Goodwin Curry
06/10/2024 · Middle School
c) \( 15,20,35,40 \) MCD
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Step-by-step Solution
Para encontrar el máximo común divisor (MCD) de los números \( 15, 20, 35 \) y \( 40 \), primero descomponemos cada número en sus factores primos:
- \( 15 = 3 \times 5 \)
- \( 20 = 2^2 \times 5 \)
- \( 35 = 5 \times 7 \)
- \( 40 = 2^3 \times 5 \)
Ahora, identificamos los factores primos comunes y tomamos el menor exponente de cada uno:
- El único factor primo común es \( 5 \).
Por lo tanto, el MCD es:
\[
MCD = 5
\]
Así que el máximo común divisor de \( 15, 20, 35 \) y \( 40 \) es \( 5 \).
Quick Answer
El MCD de \( 15, 20, 35 \) y \( 40 \) es \( 5 \).
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