Definition Of Greatest Common Factor In Math

In mathematics the greatest common divisor gcd sometimes known as the gcf or highest common factor hcf of two non zero integers is the largest positive integer that divides both numbers without remainder.

Definition of greatest common factor in math.

The largest integer that divides without remainder into a set of integers. Learn about the greatest common factor definition and methods of finding greatest common factor greatest common divisor check out the interactive simulations to know more about the lesson and try your hand at solving a few interesting practice questions on greatest common factor at the end of the page. You can also call the greatest common factor the greatest common divisor. 3 4 12 so 3 and 4 are factors of 12 2 6 12 so 2 and 6 are also factors of 12.

The mathematics community should settle on one of the two. The greatest common divisor of 6 and 12 equals 6. 2 and 3 are factors of 6 because 2 3 6 a number can have many factors. What are the factors of 12.

Greatest common factor gcf. In math the greatest common factor is the largest number that can divide evenly into two other numbers. ˌɡreɪt ɪst ˌkɑː mən ˈfæk tɚ abbreviation gcf. Related words and phrases addition subtraction multiplication division.

And that makes a lot of sense because 6 actually is divisible into 12. When we find all the factors of two or more numbers and some factors are the same common then the largest of those common factors is the greatest common factor. It is simply the largest of the common factors. The greatest number that is a factor of two or more other numbers.

In our previous example the largest of the common factors is 15 so the greatest common factor of 15 30 and 105 is 15 the greatest common factor is the largest of the common factors of two or more numbers why is this useful. Numbers we can multiply together to get another number. The least common multiple of 3 and 5 is 15 because 15 is a multiple of 3 and also a multiple of 5 and it is the smallest number like that. The smallest positive number that is a multiple of two or more numbers.