Question

If p, q are co-prime numbers, then HCF (p,q)= p, q

• A. p
• B. q
• C. pq
• D. 1

Answer 1

The Correct Option is D

Step 1: Recall the definition of co-prime numbers.

Two numbers are co-prime if their only common factor is 1. In other words, their HCF is always 1.

Step 2: Match the definition to the options.

• (1) \( p \): Incorrect, as the HCF is not equal to \( p \).
• (2) \( q \): Incorrect, as the HCF is not equal to \( q \).
• (3) \( pq \): Incorrect, as the HCF is not the product of \( p \) and \( q \).
• (4) 1: Correct, as co-prime numbers have an HCF of 1.

Final Answer: The HCF of \( p \) and \( q \) is \( \mathbf{1} \), which corresponds to option \( \mathbf{(4)} \).