# How does the GCF calculator work?

## How does the GCF calculator work?

Greatest not un usual place divisor calculator will let you calculate the GCF with first rate comfort. To use this GCD calculator:

Note: Binary (Stein’s) algorithm and the wrong way up department approach can best locate the GCF of numbers. If you need to locate the finest not unusualplace thing of greater than 2 numbers, you could pick out different techniques indexed withinside the GCF finder.

## GCF definition – What is GCF?

The greatest not unusualplace thing definition may be said as GCF is the biggest quantity which could divide or greater numbers. It is the very best quantity in all not unusualplace elements of or greater numbers.
GCF is denoted as:
GCF (12, 16) = 4

https://www.gcfcalculator.net/

## How to locate the finest not unusualplace thing?

You is probably questioning a way to locate the GCF with out the usage of the finest not unusualplace denominator calculator. As mentioned above, there are more than one techniques to locate the finest not unusualplace divisor. We will discover every of them one at a time with examples.

#### Examples

Find the GCF of 8, 10, and 12

### 1. List of Factors

In listing of things approach, we listing all of the elements of given numbers and locate the not unusualplace elements amongst them.

#### Step 1:

List all elements of 8, 10, and 12
8 = 1, 2, 4, 8
10 = 1, 2, 5, 10
12 = 1, 2, 3, 4, 6, 12

#### Step 2:

Highlight all not unusualplace elements.
8 = 1, 2, 4, 8
10 = 1, 2, 5, 10
12 = 1, 2, 3, 4, 6, 12
1 and 2 are not unusualplace elements within side the elements of 8, 10 and 12. So, 2 is the finest not un usual place quantity in all not unusualplace elements.
GCD (8, 10, 12) = 2

### 2. Prime Factorization

In the top factorization approach, we listing the top element of all numbers. Then, multiply all not un usual place elements to get the GCF.

#### Step 1:

Find the top elements of all numbers the usage of lengthy department.

#### Step 2:

List all top elements, spotlight the not unusualplace quantity. Multiply them if there may be multiple not unusualplace quantity.
8 = 2, 2, 2
10 = 2, 5
12= 2, 2, 3
In this case, there may be best one not unusualplace quantity which is 2.
So, the finest not unusualplace more than one of 8, 10 and 12 is 2.

### 3. Division step approach

In the department step approach, we divide the biggest quantity with the smallest quantity. Use the the rest because the divisor and the preceding divisor as a dividend. Continue dividing this manner till the the rest is 0.

#### Step 1:

Divide the finest quantity with the aid of using the smallest quantity the usage of steps.

#### Step 2:

Take the 3rd quantity 10 as dividend and the not unusualplace thing of 8 and 12 which is 4 because the divisor. Continue this step if there are greater numbers for your calculation.

GCD (8, 10, 12) = 2
You also can affirm the GCF the usage of the non-stop department calculator above.