Juanita wants to gives bags of stickers to her friends.She wants to give the same number of stickers to each friend. She is not sure if she needs 4 bags or 6 bags of stickers .How many stickers could she buy so there are no stickers left over?

4 works for 1, 4 or 4 people

6 works for 1, 2 , 3 or 6 people

To find out how many stickers Juanita needs to buy, we can first determine the greatest common divisor (GCD) of 4 and 6. The GCD represents the largest number that divides both 4 and 6 evenly.

To find the GCD, we can use the Euclidean algorithm. Here's how it works:

1. Start with the two numbers, 4 and 6.
2. Divide the larger number (6) by the smaller number (4): 6 ÷ 4 = 1 remainder 2.
3. Replace the larger number with the remainder from the previous step (2), and the smaller number with the divisor (4): 4 ÷ 2 = 2 remainder 0.
4. Since we have a remainder of 0, we stop here.
5. The GCD is the final non-zero remainder from step 3, which is 2.

So, the GCD of 4 and 6 is 2. This means that Juanita needs to buy stickers in multiples of 2 so they can be evenly divided among her friends.

Therefore, Juanita should buy a number of stickers that is a multiple of 2 to ensure there are no stickers left over.