Find posible values of gcd
Source: Argentina IMO TST 2007 problem 1
August 27, 2009
number theorygreatest common divisoralgebra unsolvedalgebra
Problem Statement
Let , , be distinct positive integers having exactly two digits in such a way that:
X\equal{}10a \plus{}b
Y\equal{}10b \plus{}c
Z\equal{}10c \plus{}a
( are digits)
Find all posible values of