The three defendants, in their early 20s, were all found guilty of rape at Wood Green Crown Court last February.
They were subsequently sentenced on Friday to over 45 years between them.
Roberto French, 22; Abdisalam Mohamad, 21, and Hilal Mohamed, 22 all pleaded not guilty but the jury condemned them.
The three thugs followed the 16-year-old schoolgirl in Enfield, north London and threatened her with a machete then raped her.
Jurors heard how the victim had travelled to London from Bristol on August 13, 2016, when French held a machete against her throat while he robbed her in front of the other defendants.
They then proceeded to commit the sexual act against her.
After the ordeal was over and she made her escape French followed her but he was subsequently arrested.
Mohamad was arrested on 26 May 2017 and Mohamed on 12 February 2018 and were remanded into custody with French where their case went to trial in February 2020 where they were all found guilty.
Abdisalam Mohamad and Hilal Mohamed were both sentenced to 14 years each for rape at Wood Green Count Court on Friday.
French was sentenced at the same court to 17 years for rape, five years for robbery and 10 for false imprisonment, to run concurrently.
Judge HHJ Perrins said the victim deserved “significant credit for persevering with this case as the years went by, even when it seemed nothing was happening.”
“She has shown real inner strength and resolve in seeing this matter through,” he added.
Met police Detective Sergeant Charlotte Carter, who described the teenager’s ordeal as “horrific”, praised the sentences for reflecting severity of the offences committed.
She said: “The victim and her family have shown tremendous strength, patience and resilience in supporting a prosecution and I would like to personally thank them for their courage.”
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