Emmy has 8 blue marbles and 16 white ones. If she wants to place them in identical groups without any marbles left over, what is the greatest number of groups Emmy can make?
Question
Emmy has 8 blue marbles and 16 white ones. If she wants to place them in identical groups without any marbles left over, what is the greatest number of groups Emmy can make?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the number of blue marbles and white marbles. The GCD is the largest number that can divide both numbers without leaving a remainder.
Step 1: Identify the numbers The number of blue marbles is 8 and the number of white marbles is 16.
Step 2: Find the GCD The GCD of 8 and 16 is 8.
So, the greatest number of identical groups Emmy can make is 8.
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