1. What is a 3 Number Ratio Calculator?

Definition: This calculator simplifies a three-number ratio (a:b:c) by dividing each term by their greatest common divisor (GCD).

Purpose: It helps find the simplest form of a ratio between three numbers, which is useful in mathematics, chemistry, and various proportional calculations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( a, b, c \) — Original numbers in the ratio
• \( g \) — Greatest common divisor of a, b, and c
• The result shows the ratio in its simplest integer form

Explanation: The calculator finds the largest number that divides all three input numbers exactly, then divides each term by this GCD.

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand and work with, especially in stoichiometry, mixing ratios, and proportional scaling.

4. Using the Calculator

Tips: Enter three positive integers. The calculator will return the simplified ratio and the GCD used to simplify it.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have no common divisor other than 1?
A: The ratio is already in simplest form and will be returned unchanged.

Q2: Can I use decimal numbers?
A: This calculator works with integers only. For decimals, multiply all numbers by 10, 100, etc. to convert to integers first.

Q3: What's the maximum number size I can use?
A: The calculator can handle very large numbers, but extremely large values may cause performance issues.

Q4: How is this different from a 2-number ratio calculator?
A: This finds the GCD of three numbers instead of two, which can be more complex mathematically.

Q5: Can I use negative numbers?
A: The calculator uses absolute values since ratios are about proportional relationships, not direction.