# GCF Calculator

The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers.

## What is a GCF Calculator?

GCF Calculator is an online tool that helps to calculate the GCF for the given numbers. This online GCF Calculator helps to calculate the greatest common factor in a few seconds.

## How to Use the GCF Calculator?

Please follow the steps below to find the GCF of given numbers using an online GCF calculator:

**Step 1:**Go to Cuemath’s online GCF calculator.**Step 2:**Choose the inputs "2" or "3" according to the requirement.**Step 3:**Enter two or three whole numbers in the given input boxes of the GCF calculator.**Step 3:**Click on the**"Calculate"**button**Step 4:**Click on the**"Reset"**button to clear the fields and enter the new set of numbers.

## How GCF Works?

GCF is the largest positive integer that divides each of the two integers.

GCF (Greatest Common Factor) is also known as GCD (Greatest Common Divisor) or the HCF (Highest Common Factor).

Step 1: Find the common factors that divide the input values without leaving any remainder.

Step 2: From all the common factors, choose the greatest number which is known as GCF.

**Solved Example on GCF**

Find the GCF of 6 and 12 and verify it using the GCF calculator?

**Solution:**

The factors of 6 are : {1,2,3,6}

The factors of 12 are : {1,2,3,4,6,12}

The common factors that divide 6 and 12 without leaving any remainder are 1, 2, and 6. Out of these three, 6 is the greatest.

Therefore, GCF of (6, 12) = 6

Similarly, you can use the GCF calculator and find the GCF of the following numbers:

- 80 and 90
- 26 and 130
- 300 and 450