The present disclosure relates to apparatus for grinding rotary blades, in particular scythe-like blades or circular blades, in particular for machines for slicing food products. The apparatus includes at least one mount for a rotary blade to which the rotary blade can be attached and at least one grinding tool. The grinding tool and the rotary blade attached in the mount are movable relative to one another such that a blade edge extending at the periphery of the rotary blade can be ground by the grinding tool. The apparatus includes a measuring device for determining the extent of the blade edge and a control which is designed to use the determined blade edge extent for controlling the relative movement between the grinding tool and the rotary blade.