Camilla is putting together first-aid kits. She has 24 large bandages and 33 small bandages, and she wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Camilla could put together?
Question
Camilla is putting together first-aid kits. She has 24 large bandages and 33 small bandages, and she wants each kit to be identical, with no bandages left over. What is the greatest number of first-aid kits Camilla could put together?
Solution
To solve this problem, we need to find the greatest common divisor (GCD) of the numbers 24 and 33, which is the largest number that can divide both numbers without leaving a remainder.
Step 1: List the divisors of each number. The divisors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24. The divisors of 33 are: 1, 3, 11, 33.
Step 2: Identify the common divisors. The common divisors of 24 and 33 are: 1, 3.
Step 3: The greatest common divisor is the largest of these, which is 3.
So, the greatest number of first-aid kits Camilla could put together is 3.
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