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Q: If the greatest common factor of two numbers is 871 both numbers are even and neither is divisible by the other what is the smallest that these two numbers can be?

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1700 and 2550

1742 and 2613

The smallest possible pair of numbers is 1700 and 2550.

1700 = 850 X 2

Two even numbers won't have an odd GCF.

2 AND 3

Two even numbers won't have an odd GCF.

958 and 1437

958 and 1437

1700 and 2550

1700 and 2550

1700 and 2550

The smallest that these two numbers can be is 2*871 and 4*871.

958 and 1437

If the GCF of two numbers is 850, both numbers are multiples of 850. Multiples of 850 include 850, 1700, 2250 and so on. The smallest two numbers that have a GCF of 850 are 850 and 1700. But 1700 is divisible by 850. 1700 and 2250 are the next two smallest and are not divisible by each other.

1700 and 2550

850 and 1700

The smallest number divisible by first four prime numbers is 2x3x5x7 = 210.

The smallest pair of numbers with greatest common factor of 850 would be 850 and 1700.850 x 1 = 850850 x 2 = 1700If neither number can be 850, or it is specified that neither number is divisible by the other, the next smallest pair would be 1700 and 2550.850 x 2 = 1700850 x 3 = 2550If both are allowed to be 850 then the pair would be 850 and 850.850 x 1 = 850850 x 1 = 850If 0 is allowed, then it would be 850 and 0.850 x 0 = 0850 x 1 = 850If you have the greatest common factor and multiply it by two different numbers that are relatively prime (in other words, they have no factors in common), you will have a pair of numbers whose greatest common factor is the number given. The smallest pair is 1 and 2, but one number would be divisible by the other. The next smallest pair is 2 and 3, and neither number will be divisible by the other.1700 and 2550

Two even numbers won't have an odd GCF.

Neither of those numbers is divisible by the other.

8

The smallest number which is exactly divisible by the numbers 8 9 and 10 is 360.

44,100

4 is the smallest composite number and it is not divisible by the two given numbers.