GCF and LCM Calculator Guide: Greatest Common Factor

Calculators · Free guide
GCF and LCM calculator — illustration

Finding the greatest common factor and least common multiple of several numbers powers fraction simplification and denominator work. The TetraKits GCF & LCM calculator handles any list of integers in one input.

GCF and LCM defined

  • GCF (GCD) — largest integer dividing all numbers evenly. GCF(12, 18) = 6.
  • LCM — smallest number all inputs divide into. LCM(12, 18) = 36.
  • Relationship: GCF(a,b) × LCM(a,b) = |a × b|

How to use

  1. Enter numbers separated by commas, spaces, or new lines.
  2. Read GCF and LCM in the results panel.
  3. Minimum two non-zero integers required.

Use cases

  • Simplify fractions: 12/18 → divide by GCF 6 → 2/3
  • Common denominators: LCM(4, 6) = 12
  • Ratio reduction with the ratio calculator

FAQ

GCF vs GCD?

Same thing — Greatest Common Factor = Greatest Common Divisor.

More than two numbers?

Yes. Both GCF and LCM apply to the full list.

Is this calculator free?

Yes. Unlimited use.