1. What is a Ratio Calculator For 3 Numbers?

Definition: This calculator simplifies a ratio of three numbers by dividing each term by their greatest common divisor (GCD).

Purpose: It helps find the simplest form of a ratio between three quantities, which is useful in mathematics, chemistry, cooking recipes, 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 simplified ratio has no common factors other than 1

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

3. Importance of Ratio Simplification

Details: Simplified ratios are easier to understand and work with, especially when scaling recipes, mixing chemicals, or comparing proportional relationships.

4. Using the Calculator

Tips: Enter three positive whole numbers. The calculator will show both the GCD and the simplified ratio in its lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if my numbers have no common divisor?
A: The GCD will be 1 and the ratio will remain unchanged, as it's already in simplest form.

Q2: Can I use decimal numbers?
A: This calculator works with whole numbers. For decimals, multiply all numbers by the same power of 10 to convert to integers first.

Q3: What's the maximum number this can handle?
A: It depends on your server's PHP configuration, but typically handles numbers up to 2 billion.

Q4: How is this different from simplifying a ratio of 2 numbers?
A: The principle is the same, but finding GCD for three numbers requires an extra step (first find GCD of two, then GCD of that result with the third number).

Q5: Can this be used for negative numbers?
A: The calculator currently accepts only positive integers, as ratios typically represent positive quantities.