1. What Is Ratio Calculation?

Ratio calculation simplifies the relationship between two numbers by dividing both by their greatest common divisor (GCD). This provides the simplest whole number representation of their proportional relationship.

2. How Does The Calculator Work?

The calculator uses the following formula:

Where:

• \( a \) — First number
• \( b \) — Second number
• \( \gcd(a,b) \) — Greatest common divisor of a and b

Explanation: The calculator finds the largest number that divides both input values evenly, then divides both numbers by this value to get the simplified ratio.

3. Importance Of Ratio Calculation

Details: Ratio simplification is fundamental in mathematics, engineering, cooking, finance, and many other fields where proportional relationships need to be expressed in their simplest form.

4. Using The Calculator

Tips: Enter any two positive numbers. The calculator will automatically compute their greatest common divisor and simplify the ratio to its lowest terms.

5. Frequently Asked Questions (FAQ)

Q1: What if I enter decimal numbers?
A: The calculator works with decimal numbers and will provide a simplified ratio with decimal values if necessary.

Q2: Can I use zero as an input?
A: No, both numbers must be greater than zero as division by zero is undefined and ratios require positive values.

Q3: What is the greatest common divisor (GCD)?
A: The GCD of two numbers is the largest positive integer that divides both numbers without leaving a remainder.

Q4: How is this different from percentage calculation?
A: Ratios show the proportional relationship between two quantities, while percentages express one quantity as a fraction of 100.

Q5: Can this calculator handle very large numbers?
A: Yes, the calculator can process large numbers, though extremely large values may be limited by PHP's maximum integer size.