According to police, the incident occurred on the intervening night of Sunday and Monday.
"The girl was sleeping in the fields in the floodplains of Yamuna river when the three persons took her to a field and raped her," a senior police officer told IANS.
"We have apprehended all the three accused," Deputy Commissioner of Police (East) Rishi Pal told reporters.
The accused have been identified as Bhure, 19, Amir, 21, and Bhim Sen, 19, police said.
According to police, two of the accused are neighbours of the victim.
The girl has been admitted in hospital and is recovering from her injuries, police added.
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