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Family name Eure (Eure , 厄尔, Юар ) , in the world, is quite a rare surname. The family name Eure is habitual in the United States, where it is a rare surname, France, where it is a very rare surname, and New Zealand. Measured by absolute frequency, the name is most common in the United States, France, and Canada. Much less frequently, Eure is the forename as well as the last name.