Question 111
Find all pairs of positive integers $a$ and $b$ ($a \le b$) such that
$$
ab = 300 + 7[a, b] + 5(a, b),
$$
where $(a, b)$ is the greatest common divisor and $[a, b]$ is the least common multiple of $a$ and $b$.
$$
ab = 300 + 7[a, b] + 5(a, b),
$$
where $(a, b)$ is the greatest common divisor and $[a, b]$ is the least common multiple of $a$ and $b$.