Ratio Simplifier - Reduce a Ratio to Lowest Terms
Simplify a ratio of two or more numbers to its lowest whole-number terms using GCD reduction.
Ratio Terms
Simplified Ratio
1 : 2 : 3
How to Simplify a Ratio
This is a single-purpose ratio simplifier: enter two or more numbers making up a ratio, and it reduces them to their smallest whole-number form by dividing every term by their greatest common divisor (GCD). Unlike a general ratio tool limited to two numbers, this simplifier works for ratios with any number of terms — 2:3, 4:8:12, or even longer ratios like 6:9:15:3.
Example
The ratio 4 : 8 : 12 has a greatest common divisor of 4, so dividing each term by 4 simplifies it to 1 : 2 : 3. The three-term ratio 6 : 9 : 15 has a GCD of 3, simplifying to 2 : 3 : 5.
Common Use Cases
- Simplifying a recipe or mixture ratio with three or more ingredients to its lowest terms.
- Reducing a multi-way split (like a profit-sharing ratio between several partners) to its simplest form.
- Simplifying aspect ratios, gear ratios, or other multi-term proportions found in schoolwork.
FAQs
How is this different from the site's general Ratio Calculator?
The general Ratio Calculator handles exactly two numbers and also offers a "Scale to Total" mode for splitting a total by a ratio. This tool is a focused simplifier that accepts any number of terms — add as many rows as your ratio needs — for when you specifically want to simplify a multi-term ratio.
Can I simplify a ratio with decimal numbers?
This tool rounds each term to the nearest whole number before finding the GCD, since GCD is a whole-number concept. For a ratio made of decimals, multiply every term by 10, 100, etc. first to make them whole numbers, then simplify.
What does it mean if one of my terms is zero?
A zero term stays zero after simplifying — dividing zero by any GCD is still zero — as long as at least one other term is non-zero so a valid GCD can be found.