What does it really mean when Jesus says "Your faith has saved/healed you"?

On many occasions, Jesus says "Your faith has healed/saved you." But it is clear that it's His power that healed/saved them. I'm sure none of those healed/saved took His word as "faith healers" teach today. What's the point of His saying "your faith" then?
   

Luke 7:50

NKJV - ⁵⁰ Then He said to the woman, "Your faith has saved you. Go in peace.

Clarify • Share • Report • Asked March 26 2016 • Anonymous