HCF / LCM Calculator
Calculate the Highest Common Factor (GCD) and Lowest Common Multiple (LCM) of two or more numbers. Shows step-by-step solutions.
Enter Numbers
💡 Definition
HCF and LCM
- HCF (Highest Common Factor), also called GCD, is the largest number that divides all given numbers exactly.
- LCM (Lowest Common Multiple) is the smallest number that all given numbers divide into exactly.
📖 How to use
Step by Step
- Enter two or more numbers separated by commas
- HCF and LCM are computed instantly
- View prime factorizations and step-by-step method
- Try preset examples for quick demos
🎯 Use cases
When to use
- Simplifying fractions
- Finding common denominators
- Scheduling problems (LCM)
- Number theory homework
Frequently Asked Questions
What's the relationship between HCF and LCM?▾
For two numbers a and b: HCF(a,b) × LCM(a,b) = a × b. This relationship is used to compute LCM efficiently.
Can it handle more than 2 numbers?▾
Yes. HCF and LCM are computed iteratively: HCF(a,b,c) = HCF(HCF(a,b),c) and similarly for LCM.