Free Online GCD Calculator
Free online GCD calculator to find the greatest common divisor. No signup required - 100% free, private, and works offline. Calculate GCD using Euclidean algorithm with step-by-step explanation.
Free Online GCD Calculator Tool Introduction
Looking for a free GCD calculator? Our powerful tool finds the largest number that divides all given numbers without remainder - completely free with no signup required. Also known as the Greatest Common Factor (GCF) or Highest Common Factor (HCF).
Perfect for students learning number theory, teachers creating math problems, programmers implementing algorithms, and anyone working with fractions, ratios, or divisibility problems.
Our calculator uses the efficient Euclidean algorithm to compute the GCD of two or more numbers. It shows the step-by-step process and all common divisors, making it an excellent learning tool for understanding divisibility and factorization.
All calculations are performed locally in your browser for complete privacy. No data is collected or stored. Works offline once loaded - no internet connection needed!
Free Online GCD Calculator User Guide
How to Use
- Enter Numbers: Input two or more positive integers (comma or space separated)
- Click Calculate: Get the GCD instantly
- View Steps: See the Euclidean algorithm process
- Check Divisors: View all common divisors
Understanding GCD
The Greatest Common Divisor (GCD) is the largest positive integer that divides all given numbers without leaving a remainder.
Example
Find GCD of 48 and 18:
- Divisors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
- Divisors of 18: 1, 2, 3, 6, 9, 18
- Common divisors: 1, 2, 3, 6
- GCD = 6 (the greatest)
Euclidean Algorithm
GCD(48, 18):
- 48 = 18 × 2 + 12
- 18 = 12 × 1 + 6
- 12 = 6 × 2 + 0
- GCD = 6
Key Features
- Calculate GCD of 2 or more numbers
- Step-by-step Euclidean algorithm
- List all common divisors
- Fast computation for large numbers
- Support for multiple number input
Frequently Asked Questions
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