GCD Calculator

Tool Guide

About This Tool

GCD / Factor Calculator computes the Greatest Common Divisor of multiple integers, lists all factors of each number, and shows the prime factorization — ideal for number theory study and math competitions.

Core Features

1. GCD of multiple numbers: Compute the GCD of two or more positive integers at once.

2. Factor listing: List all divisors (factors) of each input number.

3. Prime factorization: Show the step-by-step prime factorization (e.g., 60 = 2² × 3 × 5).

How to Use

Step 1: Enter the positive integers (one per line, at least 2).

Step 2: Click Calculate to see GCD and factorization results.

Use Cases

Math learning: Understand divisibility, factors, and GCD concepts.

Fraction simplification: Find the GCD of numerator and denominator to reduce a fraction to lowest terms.

Math competitions: Quickly verify factor decomposition results.

FAQ

Q: What practical uses does GCD have?

A: GCD is used in fraction simplification, equal-ratio division, and cryptography (RSA is based on GCD properties).

Q: How many numbers can be processed at once?

A: Any number of positive integers — the tool applies the Euclidean algorithm iteratively.