Yes — with 20.9 GB to spare

Llama 3.2 1B Instruct at Q4_K_M fits your L4 entirely on the GPU at 8K context, at an estimated 260 tokens per second. There is room for its full 128K window.

Fully on GPU 8K context Q4_K_M · 0.7 GB Llama 3.2 Community Released Sep 2024

The smallest Llama worth running. Fits anywhere, including phones and 4 GB cards.

What hardware do I need for Llama 3.2 1B Instruct? →

The VRAM budget

weights 0.7 GB
Weights 0.7 GB KV cache @ 8K 0.25 GB Runtime overhead 0.6 GB Free 20.9 GB of 22.4 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 2.3 GB 3.2 GB 128K 79 Reference Long context
Q8_0 1.2 GB 2.1 GB 128K 148 −0.1% ppl Long context
Q6_K 0.9 GB 1.8 GB 128K 192 −0.4% ppl Long context
Q5_K_M 0.8 GB 1.7 GB 128K 222 −0.8% ppl Long context
Q4_K_M 0.7 GB 1.5 GB 128K 260 −1.9% ppl Recommended
Q3_K_M 0.6 GB 1.4 GB 128K 322 −5.4% ppl Long context
Q2_K 0.5 GB 1.3 GB 128K 376 −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 llama3.2:1b
$ OLLAMA_CONTEXT_LENGTH=8192 \
    ollama run llama3.2:1b

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

01Download is 0.7 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 the model's full 128K context on this card.
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