AllMyCalculators

Golden Ratio Calculator

Splits any length in the golden ratio, in whatever unit you use.

Longer part
—

Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

Shorter part —
Whole length —

The formula

φ = (1 + √5) ÷ 2 ≈ 1.618034 longer = whole ÷ φ shorter = longer ÷ φ

The whole relates to the longer part as the longer part relates to the shorter.

What to watch out for

Results are in the same unit as the length you enter.

Frequently Asked Questions

What is 100 split by the golden ratio?

61.80 and 38.20.

What is the golden ratio?

About 1.618034. Dividing a line this way gives the same proportion between whole and long part as between long part and short part.