Ibrahim and Marwa are preparing first aid kits for the students. They have 30 perforated adhesive bandages, 60 triangular bandages and 75 rectangular bandages. They must distribute these equally in the kits, with nothing left over. What is the greatest number of kits they can make this quantity of bandages?
Answer: 15
Explanation
To find the greatest number of kits they can make, we need to determine the greatest common divisor (GCD) of the quantities of each type of bandage: 30, 60, and 75.
The prime factorization of each number is:
30 = 2 × 3 × 5
60 = 2² × 3 × 5
75 = 3 × 5²
The common factors are 3 and 5, so the GCD is 3 × 5 = 15.
Thus, they can make 15 kits.
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