Factorials hit a wall at whole numbers — 5! is 120, but no elementary arithmetic computes 3.5!, and nature's formulas keep demanding exactly that. In plain words, the gamma function extends factorials to every positive value: for a whole number n it equals (n-1)!, so Γ(5) = 4 × 3 × 2 × 1 = 24, and between the whole numbers it fills the gaps smoothly through an integral. The showpiece is Γ(1/2), which equals the square root of pi — a cameo nobody expects from a factorial. Statistics students meet gamma inside the chi-squared distribution, and physicists meet it in integrals that refuse to resolve any other way. It is the factorial's bigger sibling, defined everywhere the factorial is not.

This calculator evaluates gamma at a point. Type your value n into the Variable A box, say 5 — Variable B accepts a second value for side-by-side comparison. Read Γ(n) from the Result box: 24. Try 6 to watch the factorial pattern continue with 120, and 1 to confirm Γ(1) = 1, matching 0! = 1. The classic trap is the off-by-one shift: Γ(n) equals (n-1)!, so check your n before trusting the answer.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Gamma Function Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.