Calculatrice du Plus Grand Facteur Commun Gratuite
Trouvez le plus grand commun diviseur (PGCD) de deux ou plusieurs nombres. Calculez le GCF rapidement et facilement.
Gcf
12
Formule
How to Find the Greatest Common Factor
Methods
Method 1: Prime Factorization 1. Find the prime factors of each number 2. Identify the common prime factors 3. Multiply the common factors together
Method 2: Euclidean Algorithm 1. Divide the larger number by the smaller 2. Replace the larger number with the remainder 3. Repeat until the remainder is 0 4. The last non-zero remainder is the GCF
Useful Identity
GCF(a, b) × LCM(a, b) = a × b
Exemple Résolu
Find the GCF of 48 and 36.
- 01Prime factorization of 48: 2⁴ × 3 = 2 × 2 × 2 × 2 × 3
- 02Prime factorization of 36: 2² × 3² = 2 × 2 × 3 × 3
- 03Common factors: 2² × 3 = 4 × 3
- 04GCF(48, 36) = 12
Questions Fréquentes
What is the GCF?
The greatest common factor (GCF) of two numbers is the largest number that divides both of them evenly. For example, GCF(12, 18) = 6.
How is the GCF related to simplifying fractions?
To simplify a fraction, divide both the numerator and denominator by their GCF. For example, 12/18: GCF = 6, so 12/18 = 2/3.
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