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Q: How do you find a pair of numbers when the GCF is given?

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The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.

260 and 273

The GCF is 6.

At least two or more numbers must be given to find their GCF

4 and 9

By finding their common prime numbers.

The GCF is a single number so there cannot be any pair of numbers in the answer.

10 and 120

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.

To find the GCF and LCM at least two or more numbers must be given

Any consecutive even numbers have a GCF of 2.

The product of the GCF and LCM of a pair of numbers is equal to the product of the numbers.

If the GCF of a given pair of numbers is 1, the LCM will be equal to their product. If the GCF is greater than 1, the LCM will be less than their product. Or, stated another way, if the two numbers have no common prime factors, their LCM will be their product.

Any pair of prime numbers as for example 19 and 23

2

9 and 12

The GCF is the largest number that will go into a set of given numbers. The LCM is the smallest number that a set of given numbers will go into.

Yes.

When one of the numbers is a factor of the other.

9 and 12

numbers which are co prime have a GCF as 1 For example *2,3 *37,47 *23,24

8 and 16

5 and 7

3 and 6

6 and 9

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