He had been due to perform at the Glee Club in Glasgow on Friday and Saturday night.
His death has brought tributes from the comedy community.
Jo Caulfield said: “Gary Little was a great comic and an amazing person to spend time with. We are all poorer for losing you, Gary.
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“My love and sympathy to his family and loved ones.
“I will truly miss not seeing you backstage and never hearing that big mischievous laugh. Too soon. RIP my friend.”
Neil Bratchpiece, AKA The Wee Man, said: “RIP the legend Big Gary Little. One of the best comedians to come out the country and one of the nicest guys to spend time with. Still absolutely reeling from the shock of this news, deepest condolences go to his family. Rest easy big man.”
The Some Laugh podcast said: “We’re absolutely gutted to learn of the passing of the legend Gary Little.
“Gary was one of the best stand-ups Scotland has ever produced, an absolute powerhouse of a comedian as well as a genuinely lovely guy with a heart of gold.
“It was a pleasure to learn from someone like Gary as we were all coming up on the comedy scene, and his episode an appearance on our live show are up there with the all-time moments of the pod.”
Rob Kane wrote: “Scottish comedy and the world have lost a legend today. Gary Little I could rhyme off hundreds of stories of the times we’ve spent backstage and in car journeys together, the big man’s stern gaze, his lack of tolerance for people over running on their time on stage, but most of all his warmth and empathy.
“I remember when I first compèred Jongleurs and he was opening, I could see his silhouette pacing around at the back of the room whilst I thought I was ‘smashing it’. He came up to after the opening section and ‘what you dain?!’ I was shocked and said ‘what?’ He replied ‘what you dain talkin to the front row at a Jongleurs’s gig? Nobody else can see them?!’
“He brought me back to earth with a bang and he was right. I wish every gig I done had a Big Gary at it and I hope he’s doubling up whenever he does his next gigs. RIP big man. Much respect and Love.”
Darren Connell said: “Scottish comedy lost a legend today — heartbreaking news. Gary was an absolute powerhouse. He hosted my first ever gig when I was 18 years old, and after a shocker of a set, he took me aside and told me to keep my head down, work hard, and not let it get to me.
“I’m glad he was kind enough to say that, and even more glad I listened. I’ve never forgotten it. Life is so short.”
The Glee Club in Glasgow said: “We’re completely shocked and heartbroken to hear about the passing of our dear friend, Gary Little.
“Gary wasn’t just one of Scotland’s finest comedians, he was a true original. He had a huge heart, a razor sharp sense of humour, and a knack for making you feel like you’d known him forever. He could make an entire room feel like they were sitting with an old friend. He played our opening weekend, and was a permanent fixture at the venue ever since.
“Gary was due to perform with us this weekend and it’s difficult to put into words how much we will miss his presence, his humour and his friendship. We are deeply grateful for the years of memories, the countless laughs, and the privilege of working with him. There really was nobody else like him. We’ll miss him more than we can say.
“Rest easy Gary and thank you for every single laugh.”
The Stand said: “We here at The Stand are utterly devastated to hear the news of the passing of big Gary Little. An incredible comic, huge personality and friend to many.
“We are lost for words and he will be profoundly and sorely missed. Our thoughts go out to all his family and friends right now. There will be many a comic thinking about him tonight, telling stories and raising a glass. He would have liked that.”