🔢 GCF and LCM Calculator
Calculate GCF (GCD) and LCM simultaneously
How to Use This Calculator
1
Enter Two Numbers
Input two integers to find their GCF and LCM.
2
Get Results
See GCF, LCM, and the relationship between them.
Formula
GCF(a,b) × LCM(a,b) = a × b
Example: 48 and 18
GCF(48, 18) = 6
LCM(48, 18) = 144
6 × 144 = 48 × 18 = 864 ✓
About GCF and LCM Calculator
The GCF and LCM Calculator finds both Greatest Common Factor (GCF) and Least Common Multiple (LCM) of two numbers. These concepts are fundamental in number theory.
When to Use This Calculator
- Fractions: Find common denominators (LCM)
- Simplifying: Reduce fractions (GCF)
- Mathematics: Solve GCF and LCM problems
- Education: Learn number theory
Why Use Our Calculator?
- ✅ Both Results: Get GCF and LCM together
- ✅ Verification: Shows the relationship
- ✅ Fast: Uses Euclidean algorithm
- ✅ Completely Free: No registration required
Frequently Asked Questions
What's the relationship between GCF and LCM?
GCF × LCM = a × b. This means once you know one, you can calculate the other quickly!
Why calculate both together?
Many problems require both. For example, adding fractions needs LCM, while simplifying needs GCF.