12. Euclidean Domains (SLASH) PID (SLASH) UFD Overview

Greatest Common Divisors — Quiz

Test your understanding of greatest common divisors with 5 practice questions.

Practice Questions

Question 1

What is the greatest common divisor of $18$ and $24$?

Question 2

Which statement correctly describes a greatest common divisor of two elements $a$ and $b$?

Question 3

Which Bézout identity shows that $\gcd(30,18)=6$?

Question 4

If $d$ is a greatest common divisor of $a$ and $b$ in $\mathbb{Z}$, which other elements are also greatest common divisors?

Question 5

What is $\gcd(x^2-1, x-1)$ in $\mathbb{F}[x]$?