So we calculate \(\frac{2322}{654}\) and see that it divides evenly by \(3\) and has a remainder of \(360.\) Using the diagonal pattern, we can calculate \(\frac{654}{360}\) and see that it divides evenly by \(1\) and has a remainder of \(294\) . We continue this process and get the \(gcd\left(2322,654\right)=6.\)