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Home/Mathematics/Ratios & Proportions/Golden Ratio Calculator
Math CalculatorRatios & Proportions

Golden Ratio Calculator

Calculate the golden ratio (φ ≈ 1.618) and find the golden section point of two values. Used in art, design, and nature.

Updated 2025-01-153 min readCalzyra Math Team
HomeMathratiosGolden Ratio Calculator

Golden Ratio Calculator

Calculate the golden ratio (φ ≈ 1.618) and find the golden section point of two values. Used in art, design, and nature.

Formulaφ = (1 + √5) / 2 ≈ 1.618

Enter Values

Enter the larger value.

Enter the smaller value.

About This Formula

The golden ratio is the solution to x² = x + 1. For two segments a and b, a/b = (a+b)/a = φ.

Formula & Methodology

How this calculator works

φ = (1 + √5) / 2 ≈ 1.618

The golden ratio is the solution to x² = x + 1. For two segments a and b, a/b = (a+b)/a = φ.

Frequently Asked Questions

Common questions about this calculator

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