Question 44
Consider two positive integers $a$ and $b$ such that $a + 2b = 2020$.
a. Determine the largest possible value of the greatest common divisor of $a$ and $b$.
b. Determine the smallest possible value of the least common multiple of $a$ and $b$.
a. Determine the largest possible value of the greatest common divisor of $a$ and $b$.
b. Determine the smallest possible value of the least common multiple of $a$ and $b$.