Best-known for his work with twice Open champion Padraig Harrington, the 82-year-old Scot was widely renowned as one of the greatest coaches in the sport.
And his impact on many golfers - professionals and amateurs alike - was clear by the massive turnout, which included Paul McGinley, and Scott Henderson.
Bob's son Sam, who captained Europe to Ryder Cup success in 2002, poured out a dram of whisky in memory of his dad at Greenock Crematorium.
"Of course I drank most of it on the way here," he said choking back the tears, before making a toast: "To dad".
"Wee bit selfish I'm sorry. June, will you go get a cup of tea," he said with a smile, remembering the playful way his parents would speak to each other.
"If I heard that once, then I heard it a thousand times."
Mr Torrance's death from lung cancer last week cast a shadow over the Open Championship.
Many golfers, including Tiger Woods, wore black ribbons as a mark of respect for Saturday's round.
And yesterday the biggest names in British golf came to pay tribute to the coach, along with former pupils fellow coaches and veterans of the sport.
He leaves his wife June, son Sam, his wife Suzanne and their children Daniel, Anouska and Phoebe.