some how using the fact that integers a and b are coprime if, and only if, there exist

integers m and n such that i am trying to find:

m and n to show that

(i) 41 and 68 are coprime, (ii) 71 and 118 are coprime.

i also have to prove:

and are coprime for all

p.s. if anyone knows how you do those symbols for integers, real numbers and rational numbers on latex that would be useful!

thanks