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GCF Calculator

What is the Greatest Common Factor

Calculating the GCF is crucial in various mathematical operations, such as simplifying fractions, solving equations, and finding the least common multiple (LCM). It's a fundamental concept in number theory and has practical applications in everyday life, from measuring ingredients in cooking to dividing inheritances fairly.

To use our GCF calculator, simply enter the numbers you want to find the greatest common factor for, and our algorithm will do the rest. It employs the Euclidean algorithm, a efficient method for finding the GCF of two or more integers based on the principle of repeated division.

How to Find the Greatest Common Factor

For example, let's say you want to find the GCF of 24 and 18. Our calculator will break it down into simple steps:

  1. Divide 24 by 18: $24 \div 18 = 1$ with a remainder of 6.
  2. Divide 18 by 6: $18 \div 6 = 3$ with no remainder.
  3. Since the remainder is now 0, the GCF of 24 and 18 is 6.

It's that easy! Our GCF calculator takes the guesswork out of this essential mathematical operation, saving you time and ensuring accuracy.