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?
They are even
They are odd
They are coprime
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.