The Number of Green and Purple Stickers for Each Student

Explanation:

Greatest Common Divisor (GCD): The greatest common divisor (GCD) of two or more natural numbers or integers is the largest number that divides them. In this case, the GCD between 12 and 15 is 3. To calculate the GCD, we decompose each number into its prime factors: 12 = 2² * 3 15 = 3 * 5 The GCD is the result of multiplying the factors that are repeated in both decompositions, affected by the smallest exponent.

Now, to determine how many green and purple stickers each student receives, we simply divide the number of each sticker color by the GCD of 3: 12 ÷ 3 = 4 green stickers 15 ÷ 3 = 5 purple stickers

Therefore, each student gets 4 green stickers and 5 purple stickers, totaling 9 stickers.