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Q: Smallest two numbers that 850 can be divided by?

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I think "smallest greatest" is my new favorite oxymoron. If the GCF of two numbers is 850, the smallest those two numbers could be is 850 and 850. If they need to be different, the smallest they could be is 850 and 1700.

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.

The smallest of the two numbers could be 850.

850 and 1700

850 and 850If they need to be different, 850 and 1700

1700 and 2550

If the two numbers have a Greatest Common Factor of 850, the smallest they can be are the lowest two relatively prime multiples of 850, which are 2 and 3. The numbers would be 1700 and 2550.*If, conversely, the numbers sought have a Least Common Multiple of 850, the numbers are 25 and 34, as the next pair would be 17 and 50.

1700 and 2550

The smallest possible pair of numbers is 1700 and 2550.

1700 and 2550

1700 = 850 X 2

1700 and 2550

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