Greatest Common Factor Algebra Math

Word problem 1 a cell phone company produces 40 defective phones out of every 5000 phones. So the largest number we can divide both 12 and 30 exactly by is 6 like this. It s 1 2 3 4 6 and 12.

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When two numbers have a greatest common factor of only 1 they re called relatively prime.

Greatest common factor algebra math. Earlier we found that the common factors of 12 and 30 are 1 2 3 and 6 and so the greatest common factor is 6. The greatest common factor gcf of a set of numbers is the largest number that s a factor of every number in that set. And i ll throw out some terminology here for you. Another cell phone company produces 30 defective phones out of every 6000 phones.

It is easy to figure out the gcf when you split the two numbers up into their factors. So that was i guess in some ways kind of disappointing. Finding the gcf is helpful when you want to reduce a fraction to its lowest terms. Also called highest common factor example.

So it really looks like only common factor they share is 1. A greatest common factor also seen as gcf or hcf is the highest factor that is the same for two or more numbers. Six interesting greatest common factor word problems you can give to your students to tease them. Right from algebra greatest common factor calculator to linear equations we have got all the details included.

Their greatest common factor sometimes abbreviated gcf is the largest number that divides evenly into both of them. Here you will learn two ways to find the gcf. For example the gcf of the numbers 4 and 6 is 2 because 2 is the greatest number that s a factor of both 4 and 6. So the greatest common factor of 5 and 12 is 1.

The greatest common factor gcf of a set of numbers is the largest number that is a factor of all those numbers. A common factor of two positive whole numbers is a number that divides evenly into both of them. Factors of 15 are 1 3 5 15. In this lesson students learn that the first step in all factoring pro.

For example if we are told to find the gcf of 15 and 20 we first split 15 and 20 into their factors. The gcf of 12 and 16 is 4 because 1 2 and 4 are common factors of both 12 and 16 and 4 is the greatest of them. Another name that s used for greatest common factor is greatest common divisor sometimes abbreviated gcd. 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.