An apparatus for machining a component is provided. The apparatus includes a fixation mechanism, wherein the fixation mechanism includes a first fixation member with a first fixation face and a second fixation member with a second fixation face, wherein the first fixation face and the second fixation face are arranged and configured such that different bearing surfaces of a plurality of different components can be fixed between the first fixation member and the second fixation member, wherein the apparatus further includes a machining device, and wherein the apparatus is configured to machine a machining surface of the respective component by means of the machining device and according to a predetermined accuracy. Further, a method of machining the component is presented.