Yes — with 12.3 GB to spare

Llama 3.1 8B Instruct at Q4_K_M fits your RTX 4000 Ada entirely on the GPU at 8K context, at an estimated 48 tokens per second. Past 106K the KV cache pushes it over — quantise the cache to q8_0, or step down a quantisation, to go longer.

Fully on GPU 8K context Q4_K_M · 4.5 GB Llama 3.1 Community Released Jul 2024

Still the most widely deployed local model, with the largest fine-tune ecosystem. Not the strongest 8B any more.

What hardware do I need for Llama 3.1 8B Instruct? →

The VRAM budget

weights 4.5 GB
Weights 4.5 GB KV cache @ 8K 1.00 GB Runtime overhead 0.6 GB Free 12.3 GB of 18.4 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 15.0 GB 16.6 GB 22K 15 Reference Long context
Q8_0 7.9 GB 9.5 GB 78K 27 −0.1% ppl Long context
Q6_K 6.1 GB 7.7 GB 93K 36 −0.4% ppl Long context
Q5_K_M 5.3 GB 6.9 GB 99K 41 −0.8% ppl Long context
Q4_K_M 4.5 GB 6.1 GB 106K 48 −1.9% ppl Recommended
Q3_K_M 3.7 GB 5.3 GB 113K 60 −5.4% ppl Long context
Q2_K 3.1 GB 4.7 GB 117K 70 −15% ppl Long context

Quality is the published perplexity delta against f16 weights. Max context assumes an f16 KV cache; q8_0 roughly doubles it.

How to run it

terminal
$ ollama pull llama3.1:8b
$ OLLAMA_CONTEXT_LENGTH=8192 \
    ollama run llama3.1:8b

The default. One binary, a model registry, an OpenAI-compatible port. More on Ollama.

01Download is 4.5 GB. Keep it on an SSD — a first load off a spinning disk takes minutes.
02Close anything else holding VRAM. A browser with hardware acceleration can sit on 1–2 GB.
03There is room to go to 106K context on this card.
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