The GCF of two numbers is 871. Both numbers are even and neither is divisible by the other. What is the smallest that these two

Question

Lana71 [14]

2 years ago

7

The GCF of two numbers is 871. Both numbers are even and neither is divisible by the other. What is the smallest that these two

numbers could be?

Mathematics

1 answer:

GuDViN [60] · Answer 1 · 2022-06-11T08:59:59+03:00

-- If the GCF of both numbers is 871, then they're both multiples of 871.

-- If they're both even, then they must both be even multiples of 871.

-- They can't be the 2nd and 4th multiples of 871, because then the
bigger one would be divisible by the smaller one.

-- So the smallest they could be is the 4th and 6th multiples of 871 ...

<em>3,484</em> and <em>5,226</em> .

Weird problem !