A handheld, hand-guided cutting-off machine (10), which includes a rotating cutting-off wheel, a supporting housing part (36), an output shaft, which is rotatably supported around an output axis (40), a drive motor, a transmission mechanism (19), which connects the drive motor to the output shaft, a flange and a safety guard (24), which covers the cutting-off wheel over a covering area. The cutting-off wheel is rotatably fixedly mounted on the output shaft with the aid of the flange and surrounded by the safety guard (24), which is pivotable around a pivot axis. The safety guard (24), the supporting housing part (36) and the transmission mechanism (19) have maximum distances from the output axis (40) over an outcut angle (θ), which are less than or equal to half the flange diameter of the flange.