Q: What number pair has a GCF of 7 and a LCM of 70 but with two digit numbers?

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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.

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

Any consecutive even numbers have a GCF of 2.

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.

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

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.

You need at least two numbers to find a GCF. 40 and 44 have a GCF of 4.

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.

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

The pair of numbers 16 and 160 has a GCF of 16 and an LCM of 160.

The GCF is a single number. In this case, the GCF is 1.

There is none. The GCF is never larger than both numbers. The GCF is never larger than the smaller number.

Yes, because the GCF of 1 and any other number is 1.

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

No, it cannot be larger than the smallest number.

The LCM must be the other number in the pair. For any pair of numbers X and Y, X*Y = GCF*LCM and the result follows if you put GCF = X (or Y).

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

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

Any pair of prime numbers as for example 19 and 23

Yes.

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

12 and 252 is a pair of numbers that fit those criteria.

When one of the numbers is a multiple of the other, the greater is the LCM and the lesser is the GCF of that set.

8 and 888,888,888,888 is one possible pair.

The GCF is 31.

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