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Gamma Function Calculator

Result

Calculated result 24 Based on the values entered.
↗ Math

Gamma Function Calculator The Gamma Function Calculator evaluates Γ(x), the continuous extension of the factorial, using the Lanczos approximation. Enter a value of x. — free online calculator.

Formula

Γ(x) = ∫₀^∞ t^(x−1) e^(−t) dt; Γ(n) = (n − 1)! for positive integers
  • Gamma Function Calculator calculates its result from x. It uses the formula Γ(x) = ∫₀^∞ t^(x−1) e^(−t) dt; Γ(n) = (n − 1)! for positive integers. Change any input to recalculate the result instantly.
  • The main inputs are x. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Gamma Function

Inputs
  • x: 5

Using x = 5, the calculated result is 24.

Sample result: Calculating…

Frequently asked questions

What does the Gamma Function calculate?

Gamma Function Calculator The Gamma Function Calculator evaluates Γ(x), the continuous extension of the factorial, using the Lanczos approximation. Enter a value of x. — free online calculator.

Which values should I enter?

Enter x using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: Γ(x) = ∫₀^∞ t^(x−1) e^(−t) dt; Γ(n) = (n − 1)! for positive integers.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 7, 2026