GCD & LCM Calculator

What are GCD and LCM?

GCD (Greatest Common Divisor) is the largest number that divides all input numbers. LCM (Least Common Multiple) is the smallest number divisible by all inputs.

How to Use This Calculator

Enter two or more numbers separated by spaces or commas. The tool calculates both GCD and LCM instantly.

GCD Methods

• Euclidean Algorithm: Fast and efficient
• Prime Factorization: Find common factors

Applications

• GCD: Simplifying fractions
• LCM: Finding common denominators
• Scheduling: Synchronizing cycles

Relationship

GCD(a,b) × LCM(a,b) = a × b

FAQ

Can GCD be 1?
Yes, when numbers are coprime (share no common factors).