Golden Ratio Calculator

After entering the length you want to complete or divide with the golden ratio in the calculator below, select the relevant operation type and press the calculate button.

Below this page, you can also find the answers for frequently asked questions about this subject.
Golden Ratio Calculator
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What is the golden ratio?

When a number in the Fibonacci sequence is divided by the number before it, a sequence that gets closer to the golden ratio (1.618…) is obtained. This ratio is fixed from the 13th issue in the series.

In the above image, when the lengths determined with golden ratio are divided, CB / AC = AB / CB = 1,618033988749894… is obtained.

What is the Fibonacci sequence?

Each number in this array is the sum of the two preceding numbers. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, … and so on.

What is the speciality of the golden ratio?

In mathematics and art, it is a geometric and numerical ratio relation observed between the parts of a whole and thought to give the most competent dimensions in terms of harmony.

Where to see the golden ratio?

In the human body, the arms are divided into two parts by elbows. Dividing the length of the longer upper section by the length of the lower section would give the golden ratio, while dividing the length of the entire arm by the length of the upper section gives the same ratio. In addition to these;

  • The height of the base of each pyramid found in Egypt,
  • Size of Mona Lisa's painting,
  • The ratio of grain numbers from right to left and left to right outwards from the center of the sunflower gives the golden ratio.