We present photometric and spectroscopic observations of the members of three previously cataloged compact group (CG) candidatesat redshifts $z>0.3$. These confirm spectroscopic redshifts compatiblewith being gravitationally bound structures at redshifts 0.3112, 0.3848and 0.3643 respectively, and then they are the most distant CGs known with spectroscopic confirmation for all their members. The morphological and spectroscopic properties of all their galaxies indicate early types dominated by an old population of stars, with little star formation or nuclear activity. Most of the
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