GCD Calculator
Find the greatest common divisor of two integers.
Results are provided for general informational use. Verify important financial, health or legal figures before relying on them.
About this GCD Calculator
The GCD Calculator finds the largest positive integer that divides two integers without leaving a remainder. The same value is also called the greatest common factor or highest common factor in many textbooks.
For related tasks, try LCM Calculator, Fraction Calculator or Modulo Calculator.
How the calculation works
The tool uses the Euclidean algorithm, repeatedly replacing the larger relationship with a remainder until the remainder reaches zero. The last non-zero divisor is the GCD.
How to use it
- Enter the first integer.
- Enter the second integer.
- Calculate to find their greatest common divisor.
Practical example
The GCD of 48 and 18 is 6 because 6 is the largest integer that divides both values exactly.
Frequently asked questions
Is GCD the same as HCF?
Yes. GCD, GCF and HCF are commonly used for the same concept.
Can I use negative integers?
Yes. The absolute values are used for the divisor calculation.
What if one value is zero?
The GCD is the absolute value of the non-zero integer.
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