Ratio Calculator
The Ratio Calculator simplifies ratios and checks whether four values form a proportion.
Ratio Calculator
What the result means
The simplified ratio divides all values by their greatest common divisor.
How to use this calculator
- 1Enter the four values.
- 2Press Calculate to see the simplified ratio.
The formula
The calculation uses a standard, verifiable formula. Here it is in its simplest form.
Simplified = A:G : B:G : C:G : D:G
where G = GCD(A, B, C, D)
What each variable means
| Symbol | Name | Description |
|---|---|---|
| A-D | Values | The four ratio values. |
| G | GCD | Greatest common divisor. |
Step-by-step example
Example: 4:6:8:12
A:4B:6C:8D:12
- 1GCD(4,6,8,12) = 2
- 2Simplified = 2:3:4:6
Result
2:3:4:6
What changes the result
- Ratios compare quantities in proportion.
Edge cases to be aware of
Unusual situations handled correctly
- Zero values are allowed but may produce undefined ratios.
Common mistakes
Avoid these errors
- Not simplifying to lowest terms.
Assumptions
- All values are non-negative.
Limitations
- Handles up to 4 values.
Frequently asked questions
What is a ratio?+
A ratio compares two or more quantities, showing the relative sizes. For example, 2:3 means for every 2 of the first, there are 3 of the second.