# HCF of fractions formula explained with examples

Learn and know how to find the HCF of fractions.  If you are of grade 6 or grade 7 then definitely you have to know this because this concept will be in these classes only. We are learning how we can determine the HCF of fractions. So first lets know what is HCF and also what is fraction. After this we will see the standard formula used for finding HCF of fractions. LCM of fractions formula and HCF of fractions formula, both of these formulas have some relation. If you have known LCM of fractions formula, then you will easily say the formula for HCF of fractions.

## What is mean by HCF in math?

In math, HCF stands for H – Highest, C-Common and F – Factor. HCF is a process for finding the greatest number which divides the given numbers exactly. To find this, we have different methods like by writing all the factors, by prime factorisation and by division method.

## What are fractions?

Generally, we say the fraction as a part of a whole. For example, if we divide the circle into 4 parts. Here each part we call it as a fraction, which is represented as $\frac { 1 }{ 4 }$.

## The formula for finding HCF of fractions as follows:

Just know we have studied what is HCF in math and what is the meaning of fractions. Now we will learn the formula for HCF of fractions.

The HCF of fractions is given by$\frac { HCF\quad of\quad Numerators }{ LCM\quad of\quad Denominators }$

Examples:

Find the HCF of $\frac { 2 }{ 5 } ,\frac { 7 }{ 11 }$

Solution:

First we will find out HCF of Numerators and then LCM of denominators for the given fractions. After this substitute these values in the HCF of fractions formula.

HCF of Numerators i.e. 2 and 7 is 1

LCM of Denominators i.e. 5 and 11 is 55

Therefore, HCF of $\frac { 2 }{ 5 } ,\frac { 7 }{ 11 }$ is $\frac { 1 }{ 55 }$ .

What is the HCF of $\frac { 12 }{ 5 } ,\frac { 6 }{ 1 } ,\frac { 8 }{ 3 }$

Solution:

First we will find out HCF of Numerators and then LCM of denominators for the given fractions. After this substitute these values in the HCF of fractions formula.

HCF of Numerators i.e. 12, 6 and 8 is 2

LCM of Denominators i.e. 5, 1 and 3 is 15

Therefore, HCF of $\frac { 12 }{ 5 } ,\frac { 6 }{ 1 } ,\frac { 8 }{ 3 }$ is $\frac { 2 }{ 15 }$

## FAQ’s on HCF of fractions:

Is the value of HCF of fractions is also a fraction?

We cannot say that HCF of fractions is also a fraction. Sometimes it may be a fraction or sometimes it may be a real number. 