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Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

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Q: How do you find the GCF of a given set of numbers?
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Related questions

How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?

By finding their common prime numbers.


What does the GCF for a set of numbers represent?

The largest number that will divide into all the members of a given set of numbers evenly with no remainder.


What is the answer to Write the sum of the numbers as the product of their GCF and another sum numbers are 27 plus 18120 plus 6 and 9 plus 35?

The set of numbers given are not suited for this since 9 and 35 are co-prime so that the GCF of the given set of numbers is 1. Using a GCF of 1 does not help.


How can you find the LCM of a set of a numbers given their greatest common factor without listing the multiples of the numbers?

If you have two numbers, multiply them together and divide that total by the GCF. The result will be the LCM.


How are the GCF and LCM alike?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder.


What is the similarities between LCM and gcf?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples. The similarity is that they are what a given set of numbers has in common.


How are lcm and gcf alike?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.


What is a GCF and LCM?

The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder.Factors go into numbers, numbers go into multiples.


How are gcf LCM and prime factorization related?

You can find the GCF and/or the LCM of a set of numbers by comparing the prime factorizations of the individual members of the set.


What is the GCF of each pair of numbers?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The GCF of 6 and 9 is 3.


What are gcf's?

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers.


What is the LCM and gcf?

The GCF, or greatest common factor, is the largest number that will divide evenly with no remainder into all the members of a given set of numbers. The LCM, or least common multiple, is the smallest number that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.