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)
They are both even.
They are both odd.
They are coprime.
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.
