Page 30 - Numbertheory
P. 30

@ @@Hßìÿa@ö§aI@†a‡Èÿa@óî‹Åä@

              .

a . d = gcd(m , n)

       . gcd(a, b ) = 1 , n = bd m = ad                   b

       lcm (m , n) = mn = (ad ) (bd ) = abd
       gcd(m , n)                        d

       lcm (m , n) + gcd(m , n) = m + n

       abd + d = ad + bd

       (a −1)(b −1) = 0

                                         . b =1 a =1

. mn  . n = bd = bm m = d                  a =1

 n m  m = ad = an n = d                 b =1

                                               .

                            [Representation of Integers]
                           876932
    800000 + 70000 + 6000 + 900 + 30 + 2

                ).

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