The proof is very typical of Motzkin in that the Euclidean algorithm is given a new formulation, which at first seems to be leading away from the problem at hand, but is suddenly seen to be the decisive key to its solution.
Tõendid on väga tüüpiline Motzkin selles Eukleidese algoritm on antud uus sõnastus, mis esialgu tundub olevat viib eemale probleemi poolt, kuid on äkki näha olema otsustav võti oma lahenduse.