euclidean algorithm over Q[i]

how does the euclidean algorithm proceed for numbers in Q[i] ? my knowledge
of abstract algebra's basic to say the least so i hope i am using the
correct term. i mean for complex numbers with rational real & complex parts
ie. of form a/b + c/d i a,b,c,d in Z

i'm sure i have seen this somewhere but cant find reference to it anywhere.

thanks


.

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