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GCD & LCM Calculator
GCD
0
Greatest Common Divisor
LCM
0
Least Common Multiple
Verification: GCD × LCM
0 × 0 = 0
All Common Divisors
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Prime Factorization
Enter numbers to see factorization
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How to Use the GCD & LCM Calculator
- Enter two or more positive integers
- Separate numbers with commas or spaces
- View the GCD and LCM results
- See prime factorizations and all common divisors
Real-World Applications
- GCD - Simplifying fractions (12/18 → 2/3)
- GCD - Dividing items into equal groups
- LCM - Finding common denominators
- LCM - Scheduling recurring events
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Frequently Asked Questions
What is GCD (Greatest Common Divisor)?
GCD is the largest number that divides two or more numbers without a remainder. Also called GCF (Greatest Common Factor) or HCF (Highest Common Factor).
What is LCM (Least Common Multiple)?
LCM is the smallest number that is a multiple of two or more numbers. It's useful for finding common denominators in fractions.
How do GCD and LCM relate?
For two numbers a and b: GCD(a,b) × LCM(a,b) = a × b. This relationship can help verify calculations.
When do I use GCD vs LCM?
Use GCD to simplify fractions or divide items evenly. Use LCM for scheduling, finding common denominators, or when things need to align periodically.