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Q: When is the GCF of two numbers the same as the lesser of the two numbers?

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Two numbers have a GCF. Two sets of two numbers may have the same GCF.

No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.

No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.

Only if they are the same two numbers. The LCM and GCF of 10 and 10 is 10.

The product of the GCF and LCM of two numbers is the same as the product of the two numbers.

False

Only if that number is a factor of the other one.

That happens when one of the numbers is a multiple of the other.

Yes, it is true.

The product of the GCF and LCM of two numbers is the same as the product of the numbers.

The same number. Ex: GCF of 10 and 10 is 10

The same as what? The GCF of two numbers will be the same; the GCF of 3 and 9 will always be 3. The GCF of 9 and 12 will also always be 3, but the GCF of 4 and 12 will always be 4.

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