Geometric Mean Calculator

Calculate the geometric mean of a set of positive numbers

You can paste numbers separated by commas, spaces, or newlines. All numbers must be positive.

Result

GM
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About Geometric Mean

The geometric mean of a set of positive numbers is the nth root of their product, where n is the count of numbers.

Formula:

\[GM = \sqrt[n]{x_1 \times x_2 \times \cdots \times x_n}\]

For example:

  • GM of [2, 8] = √(2 × 8) = 4
  • GM of [1, 2, 4, 8] = ⁴√(1 × 2 × 4 × 8) = 2.8284...

The geometric mean is used in:

  • Growth rates and compound interest
  • Population growth
  • Audio and acoustics
  • Image processing

Note: Geometric mean can only be calculated for positive numbers.