>Sergey Mechveliani  writes:


>> Here we keep in mind that for the Rationals and "the like domains", 
>> gcd is trivial:  
>>                  if  a /= 0  then  gcd(a,b) = 1.

>And   [EMAIL PROTECTED]   writes:

>>   I'm a bit hazy about how gcd behaves on Q  (the rationals).  


  For two rationals   p1/q1 and  p2/q2, why we cannot define


        gcd(p1/q1,p2/q2)  =  gcd(p1,p2)/lcm(q1,q2) ??

  q1,q2 can always be taken to be positive  integers.

  Hence no problem in finding  lcm(q1,q2).




-- Manoranjan Satpathy
   United Nations University
   Macau



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