A lapping tool for lapping sealing surfaces of a fitting used in a gas turbine. The tool includes a shaft having first and second ends and a longitudinal axis. A removable handle is attached to the first end and is oriented in a direction transverse to the axis. The tool also includes a removable lapping insert having an outwardly extending attachment portion that is attached to the second end of the shaft. The lapping insert includes a lapping surface which corresponds to the shape of a sealing surface of the fitting. In one embodiment, the lapping insert includes a cavity for receiving a cone portion of a fitting. Alternatively, the lapping insert includes a projection for insertion into a receptacle portion of a fitting.