670 notes - Ohio State University

The Euclidean algorithm, applied to k and n, produces integers x and y for which kx + ny = 1. In (Z/nZ) the class of x is the inverse of the class of k. Example: See handout. What is the order of (Z/nZ) ? It is (n) = the number of pos. integers ≤ n which are relatively prime to n. ................
................