GCF & LCM Calculator

Find the GCF (GCD) and LCM of any set of integers in one step. Enter numbers separated by commas, spaces, or new lines — get the greatest common factor and least common multiple instantly, with a clear summary.

  • Free to Use
  • No Signup
  • Privacy Friendly
Numbers

How to find GCF and LCM

  1. 1

    Enter your numbers

    Type two or more integers separated by commas, spaces, or line breaks. Example: 12, 18, 24.

  2. 2

    Read GCF (GCD)

    The greatest common factor is the largest integer that divides all numbers evenly. GCF(12, 18) = 6.

  3. 3

    Read LCM

    The least common multiple is the smallest number all inputs divide into. LCM(12, 18) = 36. Simplify ratios with the ratio calculator.

GCF and LCM methods

GCF (GCD) is the largest integer dividing all numbers. LCM is the smallest positive integer divisible by all numbers.

GCF(a, b) via Euclidean algorithm; LCM(a, b) = |a × b| ÷ GCF(a, b)
  • Prime factorization — alternative method for small numbers
  • Two numbers minimum — enter at least two integers

Example: GCF(12, 18) = 6; LCM(12, 18) = 36.

Why Use This Tool?

  • Any List Size

    Calculate GCF and LCM for two numbers or many.

  • Flexible Input

    Paste numbers separated by commas, spaces, or new lines.

  • Homework Ready

    Quick checks for fraction simplification and common denominators.

  • Private

    Your numbers stay on the device.

Frequently Asked Questions

What is the difference between GCF and GCD?

They are the same — Greatest Common Factor and Greatest Common Divisor both mean the largest integer dividing all numbers evenly.

How is LCM calculated?

LCM is built from the GCF relationship: LCM(a, b) = |a × b| / GCF(a, b), extended to multiple numbers.

Can I enter more than two numbers?

Yes. Enter any list of non-zero integers. Both GCF and LCM apply to the entire set.

What is GCF used for?

Simplifying fractions, finding common denominators, and solving ratio problems. GCF(8, 12) = 4 means 8/12 simplifies to 2/3.

Is this GCF LCM calculator free?

Yes. Free with unlimited calculations and no signup.

GCF & LCM Calculator — TetraKits

GCF and LCM for Fractions and Ratios

Simplifying fractions, adding unlike denominators, and solving word problems all start with GCF and LCM. One input field handles any list of integers — no factor trees required.