Greatest Common Factor (GCF,GCD) Calculator.


Greatest GCF

 What is the greatest common divisor?

The greatest common divisor (GCF or GCF or HCF) of a set of whole numbers is the largest positive integer that is divided evenly into all numbers with a remainder of zero. For example, for the set of numbers 18, 30, and 42, the GCF = 6. Least Common Divisor of 0 Any nonzero integer multiplied by 0 equals 0, so it is true that every nonzero integer is a factor of 0. k × 0 = 0 so, 0 ÷ k = 0 for any integer k.

 For example, 5 × 0 = 0, so it is true that 0 ÷ 5 = 0. In this example, 5 and 0 are factors of 0. GCF (5,0) = 5 and more generally GCF (k, 0) = k for any integer k. However, GCF (0, 0) is undefined. How to find the greatest common factor (GCF) There are several ways to find the greatest common divisor of numbers. The most efficient method you use depends on how many numbers you have, how big they are, and what you will do with the result.

Using This Calculator

Using calculator Find GCF, GCD, and HCF from a set of two or more numbers and observe the work using factoring. Enter 2 or more whole numbers separated by commas or spaces. The Largest Common Factor Calculator solution also works as a solution to find:Greatest common factor (GCF) Greatest common denominator (GCF) Highest common factor (HCF) Greatest common factor (GCF)

How to find the GCF using Euclid's algorithm Given two whole numbers, subtract the smaller number from the larger number and observe the result. Repeat the process by subtracting the smallest number from the result until the result is smaller than the original small number. Use the original small number as the new largest number. Subtract the result from Step 2 from the new higher number. Repeat the process for each new major and minor number until you reach zero. When it reaches zero, go back one calculation: the GCF is the number you found just before the zero result.

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