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Can I run ZGCM-1-7B on an RTX 3090?

Yes

Its published weights (14.8 GB) fit in the 21.6 GB an RTX 3090 can use, with room for ≈ 256K tokens of context.

Full analysis of ZGCM-1-7B Everything that runs on RTX 3090 Get the weights on Hugging Face
hf download zgcagi/ZGCM-1-7B

Files and context on RTX 3090

Each file of ZGCM-1-7B (and of GGUF versions the site has analyzed), and how much context fits next to it, with the context cache in 16-bit or 8-bit.

FileSizeOn RTX 3090 Context (16-bit)Context (8-bit)
As published14.8 GBFits256K256K
4-bit (estimate)4.16 GBFits256K256K

ZGCM-1-7B on other hardware

Popular models that run on RTX 3090

Assumes 90% of the card's memory is usable and at least 4K tokens of context for one conversation, with the context cache in 16-bit unless noted. Fits leaves at least 20% of that memory for context; Tight leaves less.