# Golden ratio digit generator

## World's simplest math tool

Free online golden ratio generator. Just specify how many φ digits you need and you'll automatically get that many golden number digits. There are no ads, popups or nonsense, just an awesome golden mean calculator. Press button – get golden constant. Created by math nerds from team Browserling.

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Golden ratio digit generator tool
What is a golden ratio digit generator?

This tool generates digits of the golden ratio also known as golden cut, golden proportion, and divine proportion. The golden number is a constant. It's calculated by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. Golden mean is considered ideal in nature. It is often used in mathematics, art, and architecture as it's visually appealing to humans. With this tool, you can generate as many digits of φ as you need. You can choose which golden root to generate - positive φ root or negative φ root. Besides, you can separate the digits with any character, and remove or add the integer part in front of them. Coming soon you'll be able to generate φ in other number bases. Mathabulous!

Golden ratio digit generator examples
Click to use

Generate 200 Digits of Golden Proportion

This example calculates the positive root of the golden ratio with an accuracy of 200 digits after the decimal point.

1.61803398874989484820458683436563811772030917980576286213544862270526046281890244970720720418939113748475408807538689175212663386222353693179318006076672635443338908659593958290563832266131992829026788

**Required options**

Calculate digits of the positive φ root.

How many golden ratio digits
to generate?

What character to separate the
φ digits?

Add integer part before the φ digits.

Separate φ Digits by a Colon

This example places a colon character between all phi digits. It removes the whole part "1." in front of phi and generates 150 digits of the fractional part.

6:1:8:0:3:3:9:8:8:7:4:9:8:9:4:8:4:8:2:0:4:5:8:6:8:3:4:3:6:5:6:3:8:1:1:7:7:2:0:3:0:9:1:7:9:8:0:5:7:6:2:8:6:2:1:3:5:4:4:8:6:2:2:7:0:5:2:6:0:4:6:2:8:1:8:9:0:2:4:4:9:7:0:7:2:0:7:2:0:4:1:8:9:3:9:1:1:3:7:4:8:4:7:5:4:0:8:8:0:7:5:3:8:6:8:9:1:7:5:2:1:2:6:6:3:3:8:6:2:2:2:3:5:3:6:9:3:1:7:9:3:1:8:0:0:6:0:7:6:6

**Required options**

Calculate digits of the negative φ root.

How many golden ratio digits
to generate?

What character to separate the
φ digits?

Add integer part before the φ digits.

Calculate Negative Golden Ratio Root

This example generates 50 digits of the negative golden ratio root. If you compare this with the positive root, you'll see that the only difference is in the integer part. Golden cut digits after the decimal point are the same for both roots.

-0.61803398874989484820458683436563811772030917980576

**Required options**

Calculate digits of the negative φ root.

How many golden ratio digits
to generate?

What character to separate the
φ digits?

Add integer part before the φ digits.

Pro tips
Master online math tools

You can pass options to this tool using their codes as query arguments and it will automatically compute output. To get the code of an option, just hover over its icon. Here's how to type it in your browser's address bar. Click to try!

https://onlinemathtools.com/generate-golden-ratio-digits?&count=200&positive-phi=true&separator=&include-base=true

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