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If the HCF of two numbers is 1, what can be said about the two numbers? (2023)

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Question: If the HCF of two numbers is 1, what can be said about the two numbers? (2023)

Options:

  1. They are prime
  2. They are coprime
  3. They are even
  4. They are odd

Correct Answer: They are coprime

Exam Year: 2023

Solution: 

If the HCF is 1, the two numbers are coprime, meaning they have no common factors other than 1.

If the HCF of two numbers is 1, what can be said about the two numbers? (2023)

Practice Questions

Q1
If the HCF of two numbers is 1, what can be said about the two numbers? (2023)
  1. They are prime
  2. They are coprime
  3. They are even
  4. They are odd

Questions & Step-by-Step Solutions

If the HCF of two numbers is 1, what can be said about the two numbers? (2023)
  • Step 1: Understand what HCF means. HCF stands for Highest Common Factor, which is the largest number that divides two numbers without leaving a remainder.
  • Step 2: If the HCF of two numbers is 1, it means that the only number that can divide both of them is 1.
  • Step 3: Since the only common factor is 1, it means that the two numbers do not share any other factors.
  • Step 4: When two numbers have no common factors other than 1, we say they are coprime.
  • Coprime Numbers – Two numbers are coprime if their highest common factor (HCF) is 1, indicating they share no common divisors other than 1.
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