# GCF Calculator

GCF Calculator computes the GCF of two or more numbers among all the common factors. In mathematics, the GCF of two numbers is the largest positive integer that divides each of the two integers. GCF stands for Greatest Common Factor.

## What is a GCF Calculator?

GCF Calculator is an online tool that helps to calculate the GCF for the given numbers. The highest common factor amongst all the factors of two or more numbers is the GCF. The listing method or the prime factorization technique is used to find the GCF of numbers. To use this * GCF Calculator*, enter values in the input box.

### GCF Calculator

**NOTE:** Enter values upto 3 digits only.

## How to Use the GCF Calculator?

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

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

## How Does the GCF Calculator Work?

We can define GCF as the greatest positive number that has the ability to divide a given number into two or more equal parts. When any of the given numbers is divided by its GCF, the remainder will always be 0. GCF (Greatest Common Factor) is also known as GCD (Greatest Common Divisor) or the HCF (Highest Common Factor). Given below are the steps to find the GCF of two or more numbers using the listing or factorization method.

- Step 1: Note down all the factors of each of the given numbers.
- Step 2: Make a list of all the common factors from the list of factors obtained in step 1.
- Step 3: The common factor with the highest value will provide us the GCF of the given numbers.

Suppose we have two non-zero numbers x and y. Let y be greater than x. Further, x is also a factor of y, then the GCF of x and y will be x.

## Solved Examples on GCF Calculator

**Example 1:**

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}

Common factors : {1, 2, 3, 6}

As 6 is the highest common factor thus, GCF of (6, 12) = 6

**Example 2:**

Find the GCF of 16, 20 and 18 and verify it using the GCF calculator.

**Solution:**

The factors of 16 are : {1,2,4,8,16}

The factors of 20 are : {1,2,4,5,10,20}

The factors of 18 are : {1,2,3,6,9,18}

Common factors : {1, 2}

As 2 is the highest common factor thus, GCF of (16, 20, 18) = 2

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

- 80, 90, and 95
- 26 and 130
- 300 and 450

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