Golden Ratio Calculator
Free golden ratio calculator. Find complementary lengths, split a total into 61.8 / 38.2, and compare Fibonacci approximations of phi in your browser.
Loading tool...
What is Golden Ratio Calculator?
The Golden Ratio Calculator is a free browser tool that computes complementary lengths, splits a total into a 61.8 / 38.2 golden section, and shows Fibonacci ratios approaching phi.
Key Benefits
- Get longer and shorter complements from one number
- Split any length so major plus minor equals the original
- See a golden rectangle instead of only a ratio
- Use Fibonacci stand-ins when you need whole numbers
Common Use Cases
- β’Poster, card, or web layout proportions
- β’Crop frames and image aspect choices near 1.618
- β’Typography and spacing scales
- β’Art and architecture studies of the divine proportion
How to Split a Length With the Golden Ratio
- Enter your number: Type a length or total into the value field β the results update instantly, no calculate button needed.
- Read the complementary lengths: The tool shows the longer partner (value Γ Ο), the shorter partner (value Γ 1/Ο), and what the total would be if your number were either part.
- Use the golden split: Check the split section for the major (61.8%) and minor (38.2%) parts of your value, and skim the Fibonacci table for whole-number approximations.
- Copy what you need: Press Copy to export every result as text, or Reset to return to the default example value of 100.
Key Features
- Exact phi, 1/phi, and phi squared constants
- Longer and shorter complements plus pair totals
- Split any positive length into a golden section
- Golden rectangle preview with the inner square marked
- Fibonacci ratio table with error versus phi
Frequently Asked Questions
What is the golden ratio Ο?
Ο β 1.6180339887 β the number where a whole divided by the larger part equals the larger divided by the smaller. The tool shows Ο, 1/Ο β 0.618, and ΟΒ² β 2.618 to 10 decimal places.
Should I enter a length or a total?
Either β the tool answers both. Enter a length to get its golden partner (Γ Ο for the longer side, Γ 1/Ο for the shorter), or enter the whole to get the classic 61.8% / 38.2% split.
What is the Fibonacci table showing?
It divides each Fibonacci number by the previous one up to n = 12, showing how the ratio converges to Ο and how far each pair is off β handy for whole-number proportions that approach the golden ratio.
Can I copy all the results?
Yes, the Copy button places every value β constants, complementary lengths, and the split β on your clipboard as formatted text. All math runs locally in your browser.