मुफ्त महत्तम समापवर्तक कैलकुलेटर
दो या अधिक संख्याओं का महत्तम समापवर्तक (HCF/GCF) निकालें। संख्याएं दर्ज करें।
Gcf
12
सूत्र
## 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**
हल किया गया उदाहरण
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
अक्सर पूछे जाने वाले प्रश्न
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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