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

Practice Questions

Q1
If the HCF of two numbers is 1, what can be said about the numbers?
  1. They are even
  2. They are odd
  3. They are coprime
  4. They are multiples of each other

Questions & Step-by-Step Solutions

If the HCF of two numbers is 1, what can be said about the numbers?
Correct Answer: The numbers are coprime.
  • 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: When two numbers have no common factors other than 1, we say they are coprime.
  • Step 4: Therefore, if the HCF is 1, we can conclude that the two numbers 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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