# Greatest Common Factor Calculator (GCF, HCF, GCD) | Definition | Methods

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## Definition of Factors and multiple:

If a number divides another number is exactly then the number which divides them is called a factor of the number and the number that has been divided is known as the multiple of that number

Example: 2 and 5 are factors of 10 and 10 is the multiple of 2 and 5

## Definition of HCF (Highest common factor):

HCF of two or more number is the greatest number which divides each of them exactly.

### HCF of Fractions numbers

HCF of Fraction numbers = (HCF of numerators)/(LCM of denominators)

## Methods to find HCF

There are two methods from that we can find HCF

1. Prime factorization method

2. Division method

### 1. Prime factorization method

Follow the below steps to find the HCF of numbers using prime factorization method

Step 1: In this method first we have to find prime factors of given numbers.

Step 2: The product of common factors between all the given number is the required HCF

### 2. Division method

We can find HCF using division method also. This method is useful when we have to find out HCF of large numbers and also more than 3.

Step 1:  First we have to find the smallest number ad greater next to the smallest number. Then we have to divided the smallest number to its next greatest number.

Step 2:  Now we have to take reminder as the new divisor and the previous divisor as new Dividend. Now divide again and repeat this step and until reminders become zero.

Step 3:  The last divisor is our required HCF

Step 4:  Now we have to find the HCF of the third number with the HCF of the first two numbers. In this way, if we have more than three numbers then we have to continue this process until all the numbers are taken.

### How to use this online Greatest Common Factor Calculator

Hey Buddy! How are you? At first A Warm Welcome to you on our online calculator tool site!
Follow these 6 easy steps to use our “Online Greatest Common Factor Calculator Tool”.

1) At first, give two inputs in the “Input Section.” (Your inputs should be decimal number)

2) After giving your inputs, press the “Calculate” button & Boom! You can see your result in the “Answer Section”!! Isn’t it amazing? 🙂

4) Once used our calculator & to start from fresh, press the “Reset” button & continue enjoying 🙂

5) In the case of our “online Greatest Common Factor Calculator”, it takes input & runs a javascript program in the background. So You don’t need to worry about the correct result as there is a powerful javascript program running in the background. We genuinely care for you 🙂

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### 2 thoughts on “Greatest Common Factor Calculator (GCF, HCF, GCD) | Definition | Methods”

1. Your calculator does not have third space if the numbers are three or more.eg HCF of 120,150 and 210

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