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

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

Options:

  1. They are both even.
  2. They are both odd.
  3. They are coprime.
  4. They are multiples of each other.

Correct Answer: They are coprime.

Exam Year: 2023

Solution: 

If the GCD of two numbers is 1, it means they have no common factors other than 1, thus they are coprime.

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

Practice Questions

Q1
If the GCD of two numbers is 1, what can be inferred about the two numbers? (2023)
  1. They are both even.
  2. They are both odd.
  3. They are coprime.
  4. They are multiples of each other.

Questions & Step-by-Step Solutions

If the GCD of two numbers is 1, what can be inferred about the two numbers? (2023)
  • Step 1: Understand what GCD means. GCD stands for Greatest Common Divisor, which is the largest number that can divide two numbers without leaving a remainder.
  • Step 2: If the GCD 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 divisor is 1, it means that the two numbers do not share any other factors.
  • Step 4: Numbers that do not share any factors other than 1 are called coprime.
  • Coprime Numbers – Two numbers are coprime if their greatest common divisor (GCD) is 1, meaning they share no common factors other than 1.
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