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Family name Gertsog (Gertsog , Гертсог ) , around the globe, is a very rare cognomen. The last name Gertsog is characteristic of Austria, where it is a rare surname, Russia, where it is a very rare surname, and Turkey, where it is an extremely rare surname. Measured by absolute frequency, the name is most common in Russia, Austria, and the United States. Much less frequently, Gertsog is the forename as well as the last name.