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Home/Mathematics/Math Tools/Golden Ratio Calculator
Math CalculatorMath Tools

Golden Ratio Calculator

Explore the golden ratio φ (phi) by entering two values a and b. The calculator determines if they form a golden ratio relationship and shows the ratio value, along with derived quantities like φ, 1/φ, and φ².

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

The larger of the two values.

The smaller of the two values. Must be non-zero.

Formula & Methodology

How this calculator works

φ = (1 + √5) / 2 ≈ 1.6180339887...

The golden ratio φ occurs when the ratio of a to b equals the ratio of (a+b) to a. Mathematically, φ = (1 + √5) / 2. For given values a and b, the calculator shows a/b, b/a, and how close the pair is to the true golden ratio.

Frequently Asked Questions

Common questions about this calculator

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