Which of the following pairs of numbers has a GCD of 1?
Practice Questions
Q1
Which of the following pairs of numbers has a GCD of 1?
8 and 12
15 and 28
9 and 27
10 and 20
Questions & Step-by-Step Solutions
Which of the following pairs of numbers has a GCD of 1?
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: Identify the two numbers you are checking. In this case, the numbers are 15 and 28.
Step 3: List the factors of 15. The factors of 15 are 1, 3, 5, and 15.
Step 4: List the factors of 28. The factors of 28 are 1, 2, 4, 7, 14, and 28.
Step 5: Compare the factors of both numbers. The only common factor between 15 and 28 is 1.
Step 6: Since the only common factor is 1, the GCD of 15 and 28 is 1.
