The four were accused of raping, murdering and burning the body of the woman, a 27-year-old veterinary doctor,Online Cigarettes Store USA who had parked her scooter on a busy highway in November.
The men deflated her scooter tyre and lured her to a truck yard with the promise of fixing the machine, according to police.
They allegedly then raped and murdered the woman before setting the body on fire under an isolated bridge.
The woman, who cannot be named for legal reasons, had called her sister informing her that she was scared Newport Cigarettes Shop of the men who had offered to help her before her phone went off.
The case sparked widespread demonstrations and calls for swift and tough justice, with social media swamped with demands for them to be put to death.
Shortly after their arrest hundreds of protesters also tried to storm the Hyderabad police station where the four accused were held.
At one demonstration in Delhi, some women wielded swords while in parliament one lawmaker called for the men to be "lynched" and another for rapists to be castrated.Several hundred people flocked to the scene of the men's deaths on Friday, setting off firecrackers to celebrate and showering police with flower petals.
The victim's sister also welcomed the killings.
"I am happy the four accused have been killed in an encounter. This incident will set an example. I thank the police Cheap Newport 100s cigarettes and media for their support," the sister told local television station.
There were other reports of people celebrating the shootings from several parts of the country.
However rights activists accused the government of using "arbitrary violence" to avoid accountability.