Ohio State Route 761

SR 761 begins at a T-intersection with SR 313 in northeastern Noble County's Wayne Township, where SR 313 forms the western and southern legs of the intersection. For its duration, SR 761 traverses hilly terrain that is composed of both forest and grassland. Heading northeastward from its southern terminus, the state highway passes T-intersections with Noble County Road 33 and Eagon Hill Road, then bends to the north as it crosses the county line into Guernsey County's Millwood Township. Turning to the northeast, SR 761 now curves its way through a heavily wooded stretch through the Sycamore Road intersection, then runs northerly briefly to where it meets New Gottengen Road. SR 761 runs northeasterly from there into Salesville, where it comes to an end at its junction with SR 265, an intersection where SR 265 forms the northern and eastern approaches.[2]

Prior to the start of construction of Interstate 670 in the Columbus vicinity, the current routing of SR 761, along with the portion of SR 313 from the SR 761 junction to its eastern terminus at SR 147 was designated as SR 670. In 1974, because of construction on the future Interstate 670, and the rule that no state highway designation may duplicate a U.S. or Interstate highway designation within Ohio, the portion of SR 670 between SR 313 and SR 265 became SR 761, and the remainder became an extension of SR 313.[3][4]