Simplify Fractions Calculator
Reduce a fraction to its lowest terms by dividing by the greatest common factor.
About the Simplify Fractions Calculator
Type a fraction such as 84/126. The calculator gives it in lowest terms, the greatest common factor it divided by, the mixed number and the decimal, with step-by-step working you can try yourself first in Learn mode.
A fraction is in simplest form when its numerator and denominator have no common factor except 1. Dividing both by their greatest common factor gets there in one step.
The formula
a/b = (a ÷ g) / (b ÷ g), where g = GCF(a, b)
Worked example
84/126
- GCF(84, 126) = 42
- 84 ÷ 42 = 2, 126 ÷ 42 = 3
- = 2/3
Questions people ask
Does simplifying change the value?
No. 84/126 and 2/3 are exactly equal.
Can I simplify in several small steps?
Yes: divide by any common factor, such as 2, again and again until none is left. The GCF does it in one go.