Find all $|kh - ij|$ such that there are infinite integers $x$ such that $gcd(xh + i, xj + k) = 2019$ given that $(h, i, j, k)$ are all integers.
I tried using the Euclidian Algorithm, but I'm not that good with mods so I didn't get anywhere.
Find all $|kh - ij|$ such that there are infinite integers $x$ such that $gcd(xh + i, xj + k) = 2019$ given that $(h, i, j, k)$ are all integers.
I tried using the Euclidian Algorithm, but I'm not that good with mods so I didn't get anywhere.