Can I run gemma-3-27b-it-GPTQ-4b-128g on an NVIDIA H100?

Yes

Its published weights (16.9 GB) fit in the 72.0 GB an NVIDIA H100 can use, with room for ≈ 106K tokens of context.

hf download ISTA-DASLab/gemma-3-27b-it-GPTQ-4b-128g

Files and context on NVIDIA H100

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.

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

Popular models that run on NVIDIA H100

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.