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Fun calculators

Golden ratio calculator

Work out golden ratio proportions (φ ≈ 1.618) for design, layout, photography, UI and typography.

Calculation mode
Unit
Larger value
161.80 px
Smaller value
100.00 px
Total
261.80 px
Golden ratio (φ)
1 : 1.618
Quick read: The golden ratio gives a proportion of 100.00 px : 161.80 px (1 : 1.618).

Runs in your browser with no account and no stored data

How it works

How to use

Pick a calculation mode: find the larger value from a smaller one, find the smaller value from a larger one, or split a total length into two golden parts. Choose a unit and enter your known value.

Formula

φ ≈ 1.618. Larger = smaller × φ. Smaller = larger ÷ φ. Splitting a total: larger part = total ÷ φ, smaller part = total − larger part.

Example

Smaller 100 → larger 161.80. Larger 100 → smaller 61.80. Total 1,000 → larger 618.03 and smaller 381.97.

When it helps

Design and layout work, choosing image crops, typography scale, page columns, UI spacing, or proportioning print and photo compositions.

What do you want to do next?

Want to apply a percentage to one of the values or convert between units? Open the percentage calculator or unit converter.

FAQ

What is the golden ratio?+

It's the irrational number φ ≈ 1.618. Two values are in the golden ratio when their proportion equals (a + b) / a = a / b. It appears in art, architecture, design and nature.

Which mode should I pick?+

Use 'From smaller' when you know the small side and want the larger one, 'From larger' for the reverse, and 'Split a total' when a fixed length should be divided into golden parts.

Why is splitting 1,000 not 618 + 382 exactly?+

The split is computed with the full precision of φ, so 1,000 ÷ φ ≈ 618.034. Display values are rounded to two decimals; the underlying numbers stay precise.

Can I use this for design work in pixels?+

Yes. Pick the px unit and the calculator returns ready-to-use pixel values for typography scales, image crops, sidebar widths or spacing systems.

Does the unit affect the math?+

No. The unit is only a label shown next to the result. The ratio is dimensionless and works the same whether you use px, cm, in, or anything else.