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Can I run gemma-4-31B on an NVIDIA H100?

Yes, just

Its published weights (62.5 GB) fit in the 72.0 GB an NVIDIA H100 can use, with room for ≈ 51K tokens of context.

Full analysis of gemma-4-31B Everything that runs on NVIDIA H100 Get the weights on Hugging Face
hf download google/gemma-4-31B

Files and context on NVIDIA H100

Each file of gemma-4-31B (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 NVIDIA H100 Context (16-bit)Context (8-bit)
As published62.5 GBTight51K108K
4-bit (estimate)17.6 GBFits256K256K

gemma-4-31B 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.