The suspects taken into custody were Jitender, Jai Bhagwan and Ajay, a senior police official said.
The woman had approached the police last night after which an FIR was registered, he said.
"The three men are residents of Nangal Devat area and they have been nabbed. We have registered a case of gangrape under section 376 (G) of IPC at Vasant Kunj (south) police station and further investigations are on," the official said.