Golden Ratio Calculator

Find golden ratio (1.618) proportions for any size, a golden sequence and golden typography line height and width.

How do I calculate the golden ratio?

The golden ratio φ ≈ 1.618 divides a length so the whole relates to the longer part as the longer part relates to the shorter. Enter a number as the total, longer or shorter side and get both parts, a golden sequence of larger and smaller values and golden typography sizes for your font.

Example

A 1,000 px wide layout split by the golden ratio gives a 618 px content column and a 382 px sidebar. A 16 px font pairs with a line height of about 26 px and headings of about 26 px.

Where it is used

Logo construction, photography composition, layout grids, typography scales and product design — though it is a guide, not a strict rule.

Frequently asked questions

What is the exact value?

φ = (1 + √5) ÷ 2 = 1.6180339887…

Is the golden ratio really more beautiful?

It is a useful harmony guide, but studies show many other ratios look just as good.

Is it free?

Yes.