Golden Ratio Calculator

Golden Ratio Calculator

Divide a length into two parts using phi.

Last updated: June 2026 | By Patchworkr Team

Interactive Calculator

Choose whether you want to enter the total length, longer part, or shorter part.

Visual Division
Total: 100
Longer Part: 61.803
Shorter Part: 38.197
Total Length
100
Longer
61.803
Shorter
38.197
Ratio A/B
1.618

What phi means

Phi is the golden ratio, about 1.618.

Key relationship

The longer part divided by the shorter part is approximately phi.

Worked Example

Divide 100 using the golden ratio.

1. Total = 100

2. Longer = 100 / phi

3. Shorter = Total - Longer

Final answer: 61.8034 and 38.1966

Frequently Asked Questions

What does the total mode do?

It treats the input as the total length and splits it into golden parts.

Can I enter a negative number?

No. Golden ratio parts are intended as non-negative lengths here.

Why is the ratio approximate?

Phi is irrational, so the calculator rounds for display.

Does the ratio always stay the same?

Yes. The longer part divided by the shorter part stays close to phi.

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