GCF Calculator
Calculate Greatest Common Factor / divisor (GCF/GCD) of multiple numbers instantly.
Enter Numbers
GCF / GCD Result
6
Step-by-Step Euclidean Division:
What is the GCF Calculator?
The Greatest Common Factor (GCF) Calculator finds the largest whole number that can divide evenly into two or more integers without leaving a remainder. It is the core mathematical step required to reduce and simplify fractions.
How It Works (Formula)
The tool processes your numbers using the Euclidean Algorithm, an ancient and highly efficient method. It repeatedly divides the larger number by the smaller number, using the remainder as the new divisor, until the remainder reaches exactly zero.
$$ \text{GCF}(48, 18) \rightarrow 48 = 2(18) + 12 \dots $$
The Euclidean algorithm relies on recursive division to find the GCF.
How to Use It
Enter a list of numbers separated by commas (for example: 12, 18, 24). Click calculate, and the tool will instantly reveal the highest number that divides perfectly into your entire dataset.