Cement, powder metallurgy and various large-sized equipment are used in the industry of building materials for grinding raw materials. During operation, such equipment is exposed to external influences, especially at the joints, which reduce the reliability of the units. This leads to the early replacement of wearing parts. Large components of grinding mills are connected by flanges. The flanges are fastened with bolts, some of which must be precision, since they take the load of the equipment and ensure the tightness of the connection. The holes for precision bolts, respectively, must be accurate and of high quality. A study of the processing of holes with a reamer is given. The cutting elements of the tool, in the form of multifaceted plates, are mechanically attached to the body, which makes it possible to quickly replace the plate in case of wear or breakage. Such an assembled combined cutting tool allows to perform countersinking and reaming in one operation and thereby reduce the processing time of one hole and, in general, all precision holes in the flanges of the mill being repaired. The dependence of the precision hole accuracy on the shape and spatial deviation from the cutting modes of processing when using a combined tool is derived. The dependence is established for processing using a portable device with a rising spindle, as the most used equipment for repairs. The presented dependence makes it possible to predict the accuracy of machining holes with a combined tool, taking into account the rigidity of the technological system and calculate the required reamer accuracy.