If the GCD of two numbers is 1, which of the following statements is true?
Practice Questions
Q1
If the GCD of two numbers is 1, which of the following statements is true?
The numbers are multiples of each other
The numbers are co-prime
The numbers are both even
The numbers are both odd
Questions & Step-by-Step Solutions
If the GCD of two numbers is 1, which of the following statements is true?
Step 1: Understand what GCD means. GCD stands for Greatest Common Divisor, which is the largest number that divides two numbers without leaving a remainder.
Step 2: Know what it means for the GCD to be 1. If the GCD of two numbers is 1, it means that the only number that can divide both of them evenly is 1.
Step 3: Recognize the term 'co-prime'. Two numbers are called co-prime if their GCD is 1.
Step 4: Conclude that if the GCD of two numbers is 1, then they are co-prime, meaning they do not share any common factors other than 1.
Greatest Common Divisor (GCD) – The largest positive integer that divides two or more integers without leaving a remainder.
Co-prime Numbers – Two integers are co-prime if their GCD is 1, meaning they have no common factors other than 1.
