"The world keeps taking incredible people away," Sheeran wrote on Instagram beneath a photo of Warne with Gudinski.
"I spoke to Shane on the anniversary of Michaels passing this week saying we were both raising a glass of 707 in his honour, and now this news comes out.
"Shane was the kindest heart, and always went above and beyond to make people feel welcome and special. Such a gentleman. He gave so many hours and years of his life to bring joy to others, and was such an amazing friend to me. I'll bloody miss you mate.
"Absolutely gutted," he concluded.
Meanwhile, Aussie actor and writer Eddie Perfect — the man behind music comedy Shane Warne: The Musical, shared a lengthy message to followers, admitting he felt like he has "a masters degree in Warney".
"If you add up all the time spent reading, studying and writing about the life of Shane Warne, it felt like I had a masters degree in Warney," he began, revealing Warne was initially unhappy to hear there was a musical being written about him.
"But he came and saw the 2nd preview at the Athenaeum in Melbourne and loved it. He gave me and the crazy musical I wrote his imprimatur and even came out through the festoon light doors on stage to take a bow on opening night. He was everything you hear about him; smart, funny, warm and generous," he recalled.
"It was a privilege to meet him, and an even greater privilege that in the back booth of a restaurant on little Collins street after that 2nd show I got to tell him why I wrote the show.
"His life had everything; success, failure, love, loss, scandal, resurrection. He was completely and unapologetically himself. He worked under enormous pressure and seemed to thrive on it. It was like he was appointed by some deity with mind-blowing superpowers, but at heart he was an Australian that everyone identified with.
"The news of his passing is so sudden and tragic and confusing. I know the nation and the world is in absolute shock," he wrote, mirroring the reaction of a number of Warne's fans.
"I just don't want to say goodbye - there was so much more life to come. Others they may try but they will never Shine like Shane," he concluded.
Aussie radio star Andy Lee similarly echoed the shocked sentiment of the public with two throwback photos of him and Warne sharing a laugh on the golf course, revealing he was "lying in bed" when he heard the news.
"He opened so many doors for me to the sport I loved and we shared a lot of yarns playing another sport we both loved," he wrote.
"Forever grateful. You'll be missed."
Hugh Jackman also shared a photo with the spin king, saying he was "grateful to have known him, and to have witnessed his once in a generation talent".
Sir Elton John shared his memories of both Warne and fellow Australian cricketer Rod Marsh in a heartfelt message, sharing a photo with Warne and his ex Elizabeth Hurley.
"Shane was a magical bowler and such huge fun," the performer wrote.
He said they were both Australian "through and through", which made them "so endearing".
Kath & Kim star Magda Szubanski — whose iconic character, Sharon Strzelecki, was so obsessed with Warney that the man himself appeared on the series as Shane Warne impersonator Wayne — tweeted that she was in "complete shock" by the devastating news.
She wrote of his "bright, cheeky spark" in her message.
Kylie Minogue also conveyed her sadness on Twitter, labelling Warne "the one and only King of Spin".
Sarah Ferguson, Duchess of York, took to Instagram to express her condolences.
Piers Morgan labelled the Aussie "a genius cricketer, a supreme entertainer, a fantastic bloke and a great loyal friend for many years".
"Just gutting news. RIP Warnie, I loved every minute in your company," Morgan said.
British actor Stephen Fry called Warne "a true great" and commended his "huge heart".
Closer to home, stars Rebecca Gibney and Michelle Bridges lamented the sporting great.
"This can not be. I can't even," Bridges posted of her complete shock.
