# Simplify Fraction Calculator

The simplify fraction calculator reduces each fraction to its simplest form and shows the Greatest Common Factor (GCF) of the numerator and denominator. With the simplify fraction calculator you can practice simplifying fractions, also called reducing fractions. To reduce a fraction, you divide both numerator and denominator by the greatest common factor (GCF). This is also known as "writing a fraction in lowest terms". Writing a fraction in its simplest form means that both top and bottom numbers can no longer be divided by the same whole number other than 1. Make sure you have the simplest form of the fraction, with the numerator and denominator as small as possible, by using this simplify fraction calculator. Enter the numerator above the line and the denominator below the line and click the "Simplify Fraction" button to perform the calculation. The simplify fraction calculator reduces the fraction to its simplest form and shows you the GCF and the work and steps of the calculation.

## Simplify Fraction Calculator (with steps)

## Work and steps simplifying fraction

The simplify fraction calculator has not yet performed a calculation. Enter the numerator and denominator of the fraction you want to reduce. The complete work and steps of the reduction of the fraction will be shown here, including the Greatest Common Factor (GCF) of the numerator and denominator.

## General explanation of simplifying fractions

### Simplify fractions using Prime numbers

The list of prime numbers is infinite: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 39, 41, 43, 47, 53, etc.

Let's simplify the fraction below:

Numerator:

Denominator:

## Irreducible fraction

A fraction is the undivided result of dividing two numbers. The number above the fraction bar is called the numerator, and the number below the fraction bar is the denominator. A fraction is in its simplest form (irreducible, in its lowest terms) when the numerator and denominator have no common factors other than 1. In that case the greatest common factor (also called greatest common divisor or highest common factor) is 1.

On the other hand, a reducible fraction is a fraction that has some common factor and can be converted into its simplest (irreducible fraction) form by cancelling out that common factor (greatest common divisor). To reduce the fraction both the numerator and denominator have to be divided by that common factor.

Use the simplify fraction calculator to check if a fraction is irreducible or reduce the fraction and find the greatest common divisor.