math Calculator
Greatest Common Factor Calculator
Find the Greatest Common Factor (GCF), also known as GCD, of two or more numbers. Used to simplify fractions and ratios.
11000000000
11000000000
Results
GCF / GCD
0
LCM (for reference)
0
Simplified Ratio (A:B)
0
How to Use Greatest Common Factor Calculator
- 1
Enter the first number
- 2
Enter the second number
- 3
View the GCF
Greatest Common Factor Calculator Formula
GCF using Euclidean algorithm: GCF(a,b) = GCF(b, a mod b)Example Calculation
Input Values
First Number
48
Second Number
36
Results
GCF / GCD
12
LCM (for reference)
144
Simplified Ratio (A:B)
1.33
Frequently Asked Questions
What is GCF used for?
GCF is used to simplify fractions: 48/36 → divide both by GCF(12) → 4/3.
What is the Euclidean algorithm?
An efficient method: GCF(48,36) = GCF(36,12) = GCF(12,0) = 12.
What is GCF of prime numbers?
The GCF of two different prime numbers is always 1.