Question

A relief worker needs to divide 900 bottles of water and 324 cans of food into groups that each contain the same number of items.​ Also, each group must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ group?

Answer 1

The largest number of relief supplies that can be put in each​ group is 36

Explanation:

A relief worker needs to divide 900 bottles of water and 324 cans of food into groups that each contain the same number of items.​

No. of bottles = 900

No. of cans = 324

What is the largest number of relief supplies that can be put in each​ group?

We are supposed to find HCF

3 | 900 2 | 324

3 | 300 2 | 162

5 | 100 3 | 81

5 | 20 3 | 27

2 | 4 3 | 9

2 | 2 3 | 3

| 1 | 1

`900 = 3 * 3 * 5 * 5 * 2 * 2`

`324 = 2 * 2 * 3 * 3 * 3`

HCF =
`2 * 2 * 3 * 3 = 36`

Hence the largest number of relief supplies that can be put in each​ group is 36