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Can I run Qwen2.5-7B on an NVIDIA H100?

Yes

Its published weights (15.2 GB) fit in the 72.0 GB an NVIDIA H100 can use, with room for ≈ 128K tokens of context.

Full analysis of Qwen2.5-7B Everything that runs on NVIDIA H100 Get the weights on Hugging Face
hf download Qwen/Qwen2.5-7B

Files and context on NVIDIA H100

Each file of Qwen2.5-7B (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 NVIDIA H100 Context (16-bit)Context (8-bit)
As published15.2 GBFits128K128K
4-bit (estimate)4.28 GBFits128K128K

Qwen2.5-7B 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.