why do you find the greatest common factor

why do you find the greatest common factor Last week we wrote about one of the procedure in Math in Focus workbook 4A for finding Greatest Common Factor GCF based on prime factorization The other method introduced in the same chapter is to simply list down all factors find the common ones then identify the greatest

Why is this Useful One of the most useful things is when we want to simplify a fraction Example How can we simplify 12 30 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 So the largest number we can divide both 12 and 30 exactly by is 6 like this Solution First we list the factors of 18 and 27 and then we find out the common factors Factors of 18 1 2 3 6 9 18 Factors of 27 1 3 9 27 The common factors of 18 and 27 are 1 3 and 9 Among these numbers 9 is the greatest largest number Thus the

why do you find the greatest common factor

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What is GCF GCF stands for greatest common factor The greatest common factor of two numbers is the greatest number that is a factor of both of them Finding greatest common factor One way to find the GCF of two or more numbers is to list the factors of each number and find the greatest factor they have in common The greatest number that is a factor of all your chosen numbers find all the factors of each chosen number find any factors that are the same common the largest of those common factors is the Greatest Common Factor Abbreviated GCF Also called Highest Common Factor

Splashlearn Header Greatest Common Factor GCF Home Math Vocabulary Greatest Common Factor GCF What Is the Greatest Common Factor GCF How to Find the GCF What Is the Difference between LCM and GCF Solved Examples on Greatest Common Factor GCF Practice Problems on Greatest Common Factor GCF A common factor is a whole number which is a factor of two or more numbers The highest common factor HCF is the greatest factor that will divide into two or more

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The greatest common factor GCF of a set of numbers is the largest factor that all the numbers share For example 12 20 and 24 have two common factors 2 and 4 The largest is 4 so we say that the GCF of 12 20 and 24 is 4 GCF is often used to find common denominators Created by Sal Khan Find the greatest common factor of 210 and 168 Solution 210 2 3 5 7 168 2 2 2 3 7 GCF 2 3 7 GCF 42 Because the GCF is the product of the prime factors that these numbers have in common you

The greatest common factor divisor of 12 18 and 30 is 6 The monomials 12x4 18x3 and 30x2 have the variable x in common The highest power of x in common is x2 Thus the greatest common factor is GCF 12x4 18x3 30x2 6x2 The greatest common factor GCF of two or more expressions is the largest expression that is a factor of all the expressions We summarize the steps we use to find the greatest common factor FIND THE GREATEST COMMON FACTOR GCF OF TWO EXPRESSIONS

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why do you find the greatest common factor - A common factor is a whole number which is a factor of two or more numbers The highest common factor HCF is the greatest factor that will divide into two or more