CalmCalc
MATH

Ratio Calculator

Estimate greatest common divisor from first term, second term, scale factor with the Ratio Calculator.

Choose a ratio taskReduce a ratio or scale both terms by the same factor.
2 options
GREATEST COMMON DIVISOR120

Simplify Ratio: Reduces an integer ratio or scales both terms by a common factor.

Simplified ratio
16 : 9
Greatest common divisor
120
Estimate based on the values shown
MethodReduces an integer ratio or scales both terms by a common factor.

Before you use the result

The result depends on the entered values, selected mode, and displayed mathematical assumptions.

CALCULATOR GUIDE

How to use the Ratio Calculator

Estimate greatest common divisor from first term, second term, scale factor with the Ratio Calculator. It includes Simplify Ratio, Ratio Scaling workflows, so choose the one that matches the values you actually know. Use it to check the arithmetic while keeping the displayed method and entered values with your work.

Step by step

  1. For the Ratio, enter first term, second term, scale factor. Keep each value in the unit displayed beside its field.
  2. Review the selected Ratio workflow and inputs, then read greatest common divisor in the result panel.
  3. Change one Ratio assumption at a time to compare scenarios. Use Reset to restore this tool's worked example values.

How the calculation works

Reduces an integer ratio or scales both terms by a common factor.

Worked example

In the Ratio worked example, first term 1,920, second term 1,080, scale factor 2 produces greatest common divisor of 120. Simplify Ratio: Reduces an integer ratio or scales both terms by a common factor. Review the displayed units before comparing the result.

Understanding the result

The Ratio reports greatest common divisor. Use it to check the arithmetic while keeping the displayed method and entered values with your work. The result depends on the entered values, selected mode, and displayed mathematical assumptions.

How to check the answer

Check the Ratio answer by substituting greatest common divisor back into the stated relationship. Test a simple value such as zero, one, or an equal pair, then confirm that sign, scale, units, and rounding match Reduces an integer ratio or scales both terms by a common factor.

Common questions

What does the Ratio calculate?

Estimate greatest common divisor from first term, second term, scale factor with the Ratio Calculator.

Which Ratio inputs have the biggest effect?

greatest common divisor responds directly to first term, second term, scale factor. Change one input while holding the others constant to see its effect.

Is the Ratio result exact?

The result depends on the entered values, selected mode, and displayed mathematical assumptions. Recheck first term, second term, scale factor and use greatest common divisor only for a decision where that level of precision is appropriate.

Formula tests, limits, sources, and guide registry updated September 1, 2026.
INTERPRET THE RESULTRead the math guideCheck assumptions, limitations and comparison methods →