gcc compiled progs => GPL ?

[C.Hagedorn]

Hi all,

if i use the GNU Compiler gcc, which is under GPL, to compile my program,
do i have to put my program then under GPL too?

I think not, because GPL is just about using and distributing GPL sources.
If i compile my program it does not contain any code of the compiler, doea
it?

The GNU c library is under LGPL as far as i know.
So i can use both, glibc and gcc, and sell my ready program afterwards?
Am i right?

Thanks for your help in advance.
Best regards,
Christoph