When I save my image as a jpeg or tiff,the colors change

@jujuhung Are your images in the sRGB colour space with the profile embedded? see @D Fosse post above.

IF you save your images with an embedded ICC profile and IF you then view them in an application that has colour management (on a calibrated screen, or the same screen you created on) then all should match well.

IF you take them to a non-colour-managed application, the problems start.

If you find you must take them to a non-colour-managed application - then (should you have an image in a non-sRGB colourspace)  try converting a copy of the original image to sRGB, which is a bit more universal. Save with the profile embedded always. Most display systems were close to sRGB until reasonably recently.

Mobile devices also seem to accept sRGB well.

Always embed the ICC profile when saving 

Unfortunately, though, if you display those sRGB images in software without colour management on a screen with a large colour space like Adobe RGB or P3 (quite a few are like that now) then the colours will look way oversaturated. On such screens colour management is even more vital. 

neil barstow - adobe forum volunteer,

colourmanagement consultant & co-author of 'getting colour right'

See my free articles on colour management

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Colors don't "change".  The numbers don't change.

The embedded document profile defines the numbers as colors. To do that, the profile has to be there. It sounds like maybe it isn't here. This is what c.pfaffenbichler is referring to:

The working space you set in Color Settings does not matter. The embedded document profile should always override it. That's how color management is intended to work.

In terms of display and how your file is represented on screen, "google drive" is irrelevant. That's just storage. The question is what application you are using to view the file, and whether it supports color management or not.

Please set the Status Bar to »Document Profile« and post meaningful screenshots with the pertinent Panels (Toolbar, Layers, Options Bar, …) visible of both the original image and the jpg.