Mathematics · Algebra
Fraction Simplifier
Reduce a fraction to lowest terms using the greatest common divisor.
Inputs and results stay in this browser. Change one value at a time to explore the relationship.
Calculation steps
- GCD(18, 24) = 6.
- Divide both terms by 6.
- The simplified fraction is 3/4.
Definition and formula
Dividing the numerator and denominator by their greatest common divisor preserves the fraction's value.
Simplified fraction = (numerator ÷ GCD) / (denominator ÷ GCD)
Worked example
18/24 has GCD 6, so it simplifies to 3/4.
Common mistake
The denominator can never be zero.
How to learn with this calculator
Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.
Clear answers
Frequently asked questions
What does the Fraction simplifier do?
Reduce a fraction to lowest terms using the greatest common divisor.
How does the Fraction simplifier work?
The calculator applies Simplified fraction = (numerator ÷ GCD) / (denominator ÷ GCD). Dividing the numerator and denominator by their greatest common divisor preserves the fraction's value.
What can I learn from the Fraction simplifier?
It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.
Does MW SysArc receive or store what I enter?
No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.
How should I use the result?
Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.
Last reviewed 2026-07-14. Calculations tested 2026-07-14.