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max d, divides all 3 of abc, bca, cab where a,b,c non zero diff. digits

Source: Czech-Polish-Slovak Junior Match 2016, team p2 CPSJ

January 20, 2020

number theorydividesDigits

Problem Statement

Find the largest integer

d

divides all three numbers

abc, bca

and

cab

with

a, b

and

c

being some nonzero and mutually different digits.
Czech Republic