Harmon Ryan
01/25/2023 · Senior High School
Sume 1, al MCD \( \{12,24,96\} \quad R \) :
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Step-by-step Solution
Para encontrar el mínimo común divisor (MCD) de los números \( \{12, 24, 96\} \), primero descomponemos cada número en sus factores primos:
1. **Descomposición en factores primos**:
- \( 12 = 2^2 \times 3^1 \)
- \( 24 = 2^3 \times 3^1 \)
- \( 96 = 2^5 \times 3^1 \)
2. **Identificación de los factores comunes**:
- Para calcular el MCD, tomamos los factores primos comunes con el menor exponente:
- Para el factor \( 2 \): el menor exponente es \( 2 \) (de \( 12 \)).
- Para el factor \( 3 \): el menor exponente es \( 1 \) (común en todos).
3. **Cálculo del MCD**:
\[
MCD = 2^2 \times 3^1 = 4 \times 3 = 12
\]
Por lo tanto, el MCD de \( \{12, 24, 96\} \) es \( 12 \).
Quick Answer
El MCD de \( \{12, 24, 96\} \) es \( 12 \).
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