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If a and b are relatively prime numbers,...

If `a` and `b` are relatively prime numbers, then what is their HCF?

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To solve the question, "If `a` and `b` are relatively prime numbers, then what is their HCF?", we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Relatively Prime Numbers**: - Two numbers are said to be relatively prime (or coprime) if they have no common factors other than 1. This means that the only positive integer that divides both numbers is 1. 2. **Identifying Factors**: - For any number, the factors are the integers that can divide that number without leaving a remainder. - Since `a` and `b` are relatively prime, we know their only common factor is 1. 3. **Definition of HCF**: - The Highest Common Factor (HCF) of two numbers is the largest number that divides both of them. 4. **Finding the HCF**: - Since the only common factor of `a` and `b` is 1, the HCF of `a` and `b` is therefore 1. 5. **Conclusion**: - Thus, if `a` and `b` are relatively prime numbers, their HCF is 1. ### Final Answer: The HCF of `a` and `b` is 1. ---
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