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novice needing help



Hi,

I just started to read about cryptography and during my readings I found a
small problem
probably not very hard but I just don't know how to solve it. My number
theory knowledge is very limited.

a = b/c and
d = b/(b mod c)

I would like to demonstrate that gcd(a,d) = 1 and a*d>=b for any b and c
values(assuming b mod c != 0) is true or false through
logical induction.

Is there someone that could give me a hint ?

TIA

Olivier Langlois - [email protected] -
http://www3.sympatico.ca/olanglois
Montreal, Canada