About This Calculator
This calculator finds the greatest common factor (GCF), also known as the greatest common divisor (GCD), of two or more positive integers. The GCF is the largest positive integer that divides each input number exactly, without leaving a remainder. It is commonly used in simplifying fractions and solving problems involving ratios or divisibility.
How It Works
- Enter two or more positive integers (e.g.,
24 36 60or24, 36, 60). - It applies the Euclidean algorithm step by step to compute the GCF across all numbers.
- A factor comparison table is shown to highlight the common divisor shared by all input values.
GCF(a, b) = GCF(b, a mod b)
Frequently Asked Questions
What is the greatest common factor (GCF)?
The GCF of two or more integers is the largest number that divides them all without leaving a remainder. It is useful in reducing fractions to their simplest form.
Is GCF the same as GCD?
Yes. GCF (Greatest Common Factor) and GCD (Greatest Common Divisor) refer to the same concept and are used interchangeably.