What do you mean when you say:
I will get the red GPU is giving errors message
The first step of course would be to read into the error message. What exactly does it say?
Regardless, as the previous poster mentioned, your problem could be not related to your PSU. It could be a faulty GPU or poor overclock or undervolting settings. Many people including myself have run rigs with multi PSU configurations without problems (for days, months, even years).