Jeurgen,

   A greatest common divisor of 23J1 and 25J25 is 3J1.
Complex division by of 23J1 and 25J25 by 3J1 yields Gaussian integers

      23J1 25J25 ÷ 3J1
7J¯2 10J5

but mod 3J1 of the same numbers does not consistently yield zeroes

      3J1 | 23J1 25J25
3J1 0

I can provide numerous other examples of this problem if needed.

Regards,

Fred



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