Question

A box contains 42 red counters, 90 yellow counters and no other counters.

A group of students share these counters between them so that they each receive the
same number of red counters and the same number of yellow counters.
There are no counters left over,
How many students could be in the group?
Give all possible answers and show your reasoning.

Please help

Answer 1

1, 2, 3, 6

Explanation:

This questions is asking the GCF of 42 and 90. To find them, we have to find all their factors.

42 90

1, 42 1, 90

2, 21 2, 45

3, 14 3, 30

6, 7 5, 18

6, 15

9, 10

Now we find the numbers that match up.

They both share 1, 2, 3, and 6 thus this is our answer