Golden Ratio Calculator

Split a length into the golden ratio, or find the matching longer or shorter part. The golden ratio (φ ≈ 1.618) appears in design, art and nature.

Whole
Longer part (a)
Shorter part (b)

In a golden division, the whole is to the longer part as the longer part is to the shorter, a ratio of about 1.618 to 1. It is widely used in layout, typography, logos and photography to create balanced, pleasing proportions. The bar shows the two parts to scale.

Frequently asked questions

What is the golden ratio?

The golden ratio, written with the Greek letter phi (φ), is approximately 1.618. Two quantities are in the golden ratio when the whole is to the larger part as the larger part is to the smaller. It turns up in art, architecture, design and nature.

How do I use it in design?

Split a layout, image or element so the two parts are in the golden ratio. For example, a 1000px wide section might be divided into about 618px and 382px. Many designers find these proportions naturally balanced.

Can I work backwards?

Yes. Switch the mode to enter the longer or shorter part instead of the whole, and the tool finds the other two values so the proportion stays golden.