Find all common solutions to the congruences
(in the following notations the = is meant to be a congruence symbol)
x=2(mod 3), x=1(mod 4), x=3(mod 5), x=4(mod 7)
We can use the Chinese remainder Theorem.
3, 4, 5, 7 are relatively prime to each other.
This shows how to use Chinese Remainder Theorem to find solutions to congruences.