The Pop icon was confirmed dead on Thursday after police were called to Prince's Paisley Park estate and found his body in a lift.
In a statement, Noel-Schure said, "A few hours ago, Prince was celebrated by a small group of his most beloved: family, friends and his musicians, in a private, handsome ceremony to say a loving goodbye".
There was no evidence of trauma on Prince's body when he was found unresponsive at his Minnesota compound, authorities in the United States have said.
In line with statements from authorities, Meacham said that at least four weeks would be needed for the results of an autopsy on Prince's cause of death.
It's possible that a future public event - billed as a "musical celebration" - will be held as well.
Photos obtained by the paper show Prince's sister, Tyka Nelson, her son Prez and another family member apparently shepherding his ashes into a auto after the four-hour-long service.
"Prince's remains have been cremated and their final storage will remain private".
Of his sister Tyka, an insider added to the Daily Mirror newspaper: "Tyka was adamant she didn't wanted to leave him". People emerged from the estate and handed out round purple boxes to some fans. They declined to comment on reports that Prince had been taking pain medication, saying the investigation was continuing. There was no cell phone in "close proximity" to Prince when his body was found.
Olsen said the last time Prince was seen alive was around 8 p.m. Wednesday, when an acquaintance dropped him off at his sprawling compound.
There were no obvious signs of injuries, and Olson said the death was not believed to be a homicide or a suicide.
Prince took a flight last week from Atlanta to Minneapolis that made an emergency landing due to an "unresponsive male" on board, a source told NBC News.
His death came as a shock to everyone, even to those who knew him well.
Writing on Facebook, the actor said: "Jada & I mourn with all of you the loss of a attractive poet, a true inspiration, and one of the most magnificent artists to ever grace this earth".
Prince fans can now relive the magic of Purple Rain on the big screen.
An autopsy was conducted Friday and the body released to his family.