Feel like leaving and going back home

I moved to a new city for college a year ago I never had such a fun school life, I thought in college I’ll have a good social life cause I decided to put in efforts in making friends but one year has passed and nothing has worked I don’t have a friends group I just wander around different groups just talk to people but I am not able to form friendships. I have also tried my best to improve my social skills and what not but nothing is working. In this one year everyone has formed friendships and are living their best life in this city going to different places exploring, whereas me who is still stuck in the same loop of making friends. I genuinely now feel like leaving and going back home because I feel like nothing is changing and I am seriously tired of all this and this whole situation is making me depressed.