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Golden Ratio Calculator

Split a value by the golden ratio (φ). For layout and design proportions.

▶About this tool

This tool splits any number by the golden ratio (φ≈1.618) in one click. Three features: 1) Works with width, height, font size, or any value, 2) Shows both larger and smaller portions instantly, 3) Useful for layout, logo, and typography proportions.

Tool interface

Larger (φ/(1+φ)) —
Smaller —

Usage

  1. Enter a number (width, height, font size)
  2. Both larger and smaller values split by golden ratio are displayed instantly
  3. Use for layout, logo, and typography proportion design

When to use

Layout margin design, logo proportions, typography scale.

Examples

1000 → 618.03 and 381.97, 16 → 9.89 and 6.11.

FAQ

What is the golden ratio?

Approx. 1.618. Ratio where a:b = (a+b):a. Common in nature and art.

Golden ratio formula?

For value N: larger = N × φ/(1+φ) ≈ N × 0.618, smaller = N - larger.

What is the value of φ?

φ = (1+√5)/2 ≈ 1.618. Irrational, infinite decimals.

How to use golden ratio in design?

Split margins, logo proportions, typography scale (1, 1.618, 2.618...). Layout ratio design.

Golden ratio vs silver ratio?

| Item | Golden | Silver |
| Ratio | ~1.618 | ~1.414 (√2) |
| \| Use \| Western art | layout \| Japanese architecture | A4 \| |
| --- | --- | --- |
| \| Examples \| Parthenon \| Tatami | Yamato-e \| | |
This tool is for golden ratio. Silver: smaller = value × 0.707.

How to split layout with golden ratio?

Width 1000px → 618px and 382px. Use larger for main, smaller for sidebar.

Origin of golden ratio?

Used in Parthenon, Leonardo da Vinci. Also appears in nature—spirals, flower petals.

Golden ratio reciprocal?

1/φ ≈ 0.618. The 'smaller' proportion when splitting.

Golden ratio for font sizes?

Base 16px → 26px (1.618×), 42px (2.618×). Harmonious typography scale.

How to use golden ratio calculator?

Enter a number (width, height, font size). Get two values split by golden ratio instantly.

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