There is no shortage of online calculators that will compute the GCD of two integers from $\textbf Z$.
For example, the one from Calculator Soup, it will even show you the steps (try it with two consecutive Fibonacci numbers).
But are there any such calculators for other Euclidean domains, even if limited to a single norm-Euclidean domain? For example, a calculator that you can put in two integers from $\textbf Z[\sqrt 2]$.
Is there such a thing? Might this question encourage someone who has something like this laying around on his computer to post it on the Web?
You can use SAGE online via https://cocalc.com/ with the commands from Euclidean Domains