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Can I run gemma-3-27b-it-GPTQ-4b-128g on an RTX 4090?

Yes

Its published weights (16.9 GB) fit in the 21.6 GB an RTX 4090 can use, with room for ≈ 9K tokens of context.

Full analysis of gemma-3-27b-it-GPTQ-4b-128g Everything that runs on RTX 4090 Get the weights on Hugging Face
hf download ISTA-DASLab/gemma-3-27b-it-GPTQ-4b-128g

Files and context on RTX 4090

Each file of gemma-3-27b-it-GPTQ-4b-128g (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 4090 Context (16-bit)Context (8-bit)
As published16.9 GBFits9K18K

gemma-3-27b-it-GPTQ-4b-128g on other hardware

Popular models that run on RTX 4090

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.