Moderate# Statements Involving $\text{lcm}$ and $\gcd$

NUMTH-HWNDTW

Let $a, b \in \mathbb{N}$.

Which of the following statements about $\gcd(a, b)$ and $\text{lcm}(a, b)$ are true (where $\gcd(a, b)$ is the greatest common divisor of $a$ and $b$ and $\text{lcm}(a, b)$ is the least common multiple of $a$ and $b$)?

Select **ALL** that apply.