The product of two numbers is 2028 and their HCF is 13. How many such pairs of numbers are possible?
A1
B2
C3
D4
Explanation
Let numbers be 13a and 13b where a, b are coprime. 13a * 13b = 2028 => 169ab = 2028 => ab = 12. Coprime pairs for ab=12 are (1, 12) and (3, 4). So 2 pairs exist.
Exam Relevance
- Topic: Number System
- Subtopic: HCF & Pairs
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