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Can the LCM and GCF of a pair ever be the same number?

Updated: 8/17/2019
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11y ago

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Only if you're comparing a number to itself. The GCF and LCM of 10 and 10 is 10.

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11y ago
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Q: Can the LCM and GCF of a pair ever be the same number?
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Related questions

Is the gcf of a pair of numbers ever greater than both numbers and explain with a example?

A number can't have a factor greater than itself, so the GCF of a pair of numbers can't ever be greater than the smaller number. The GCF of 9 and 18 is 9.


What is a number pair whose greatest common factor is the same as one of the numbers?

A number pair whose GCF is the same as one of the numbers is i , i x j where i and j are integers greater than zero. If i=3 and j=5 then the number pair will be 3,15. The GCF is 3. If i=7 and j=11 the number pair will be 7,77 and the GCF 7. The number of possible solutions is infinite.


Is the GCF of a pair of numbers ever greater than both nombers?

No, it's never greater than the smallest number.


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

To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.


What pair of numbers is GCF of 12 and 16?

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


What is the GCF of two numbers when one number is a multiple of the other?

In that case, the smaller number is the GCF of the pair.


Can the gcf of a pair of numbers ever equal one of the numbers explain how you know?

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


What is the GCF of every number?

It is impossible to list the GCF of every pair of numbers, because there are infinitely many numbers. If you are looking for the GCF of any number by itself, the GCF of a single number is that number.


Is the gcf of numbers ever greater than both numbers example?

No but it can be the same as the biggest number as for example the gcf of 30 and 15 is 30


Will any pair of prime numbers have the same GCF?

Yes.


What is a pair of numbers to the gcf number 2?

Any consecutive even numbers have a GCF of 2.


How do you identify the gcf and LCM of a pair of numbers if one number is a factor of the other number?

The GCF is the factor, the LCM is the other one.