Find the greatest number of students in a room to accommodate 135, 180, and 225 students completely?
- 36
- 45
- 54
- None of these
Explanation
To find the greatest number of students that can accommodate 135, 180, and 225 completely, we need to find the Highest Common Factor (HCF) of these numbers.
Step 1: Prime Factorization
135 = 3³ × 5
180 = 2² × 3² × 5
225 = 3² × 5²
Step 2: Identify Common Factors
Common factors = 3² × 5 = 9 × 5 = 45
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