If the HCF of two numbers is 1, what can be inferred about the two numbers? (202

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

Options:

Correct Answer: They are coprime.

Exam Year: 2023

Solution:

If the HCF is 1, it means 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 inferred about the two numbers? (2023)

If the HCF of two numbers is 1, what can be inferred 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 or more numbers without leaving a remainder.
Step 2: Recognize that if the HCF of two numbers is 1, it means that the only number that can divide both of them is 1.
Step 3: Realize that having no common factors other than 1 means that the two numbers do not share any other divisors.
Step 4: Conclude that if two numbers have an HCF of 1, they are called coprime or relatively prime.

Coprime Numbers – Two numbers are coprime if their highest common factor (HCF) is 1, indicating they share no common divisors other than 1.