Question

A department store recorded the amount of money made on sweaters each day. If the sweaters each cost the same amount , what is the highest possible cost of each sweater?

Monday:$66

Tuesday:$110

Wednesday:$132


^the money that they made

Answer 1

$22

Explanation:

We have to find the highest common factor of the 3 numbers shown.

HCF of 66, 110, 132

We need to break each into product of prime numbers and then take the prime common number with the least factor.

66 - 2 * 3 * 11

110 - 2 * 5 * 11

132 - 2 * 2 * 3 * 11

The common factors are 2 and 11. We take 2 and 11 and multiply, so we have

2 * 11 = 22

Thus, $22 would be the highest possible cost of each sweater