Find the Greatest Common Factor and Least Common Multiple for any set of numbers. Includes prime factorization trees and formula derivation.
Our GCF & LCM calculator online finds the Greatest Common Factor and Least Common Multiple for any set of numbers. Beyond just giving answers, this GCF & LCM calculator online shows the complete prime factorization tree for each number and explains the mathematical formula used.
The GCF is the largest number that divides all given numbers without leaving a remainder. The LCM is the smallest number that is a multiple of all given numbers — both fundamental concepts in mathematics.
Students can verify homework and understand the factorization process. Teachers can demonstrate prime factorization and GCF/LCM concepts. Math enthusiasts can explore number properties.
Education: Learn prime factorization and GCF/LCM concepts.
Fractions: Simplify fractions and find common denominators.
Problem Solving: Solve ratio and word problems efficiently.
TooliFyra's GCF & LCM calculator online is 100% private — all calculations happen in your browser. It's completely free with no sign-up or data collection.
The Greatest Common Factor (GCF) is the largest positive integer that divides all given numbers without leaving a remainder. Also known as GCD (Greatest Common Divisor).
The Least Common Multiple (LCM) is the smallest positive integer that is divisible by all given numbers.
Yes, completely free with no usage limits.