What Is the Greatest Common Factor of 6 and 12
The concept is easily extended to sets of more than two numbers. 3 3 12 6 9 2.
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. The greatest common factor GCF or GCD or HCF of a set of whole numbers is the largest positive integer that divides evenly into all numbers with zero remainder. In the name greatest common divisor the adjective greatest may be replaced by highest. The greatest common factor GCF of two or more numbers is the greatest number that is a factor of all of the numbers.
In mathematics the greatest common divisor GCD of two or more integers which are not all zero is the largest positive integer that divides each of the integers. The greatest common divisor GCD also called the greatest common factor of two numbers is the largest number that divides them bothFor instance the greatest common factor of 20 and 15 is 5 since 5 divides both 20 and 15 and no larger number has this property. The GCD of a set of numbers is the largest number.
For example for the set of numbers 18 30 and 42 the GCF 6. Hence the greatest common factor of 12 and 18 is 16. For two integers x y the greatest common divisor of x and y is denoted For example the GCD of 8 and 12 is 4 that is.
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