Greatest Common Factor (GCF) Calculator
The Greatest Common Factor (GCF) of a set of integers is the largest positive integer that divides each of the integers without leaving a remainder. It is also known as the Greatest Common Divisor (GCD). This is useful for simplifying fractions and ratios.
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Calculation Result
Greatest Common Factor:
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How It's Calculated
This calculator uses the Euclidean algorithm, an efficient method for computing the GCD of two integers. The algorithm is based on the principle that the greatest common divisor of two numbers does not change if the larger number is replaced by its difference with the smaller number.
To find the GCF of more than two numbers (e.g., a, b, and c), the process is repeated:
GCF(a, b, c) = GCF( GCF(a, b), c )