Yes — with 47.2 GB to spare

Qwen3 4B at Q4_K_M fits your CPU only · DDR5 dual-channel entirely on the GPU at 8K context, at an estimated 17 tokens per second. There is room for its full 32K window.

Fully on GPU 8K context Q4_K_M · 2.3 GB Apache 2.0 Released Apr 2025

The 2025 sweet spot for 8 GB cards with reasoning traces. Qwen3.5 4B adds vision and 8× the context.

What hardware do I need for Qwen3 4B? →

The VRAM budget

weights 2.3 GB
Weights 2.3 GB KV cache @ 8K 1.13 GB Runtime overhead 0.6 GB Free 47.2 GB of 51.2 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 7.5 GB 9.2 GB 32K 5.0 Reference Long context
Q8_0 4.0 GB 5.7 GB 32K 9.5 −0.1% ppl Long context
Q6_K 3.1 GB 4.8 GB 32K 12 −0.4% ppl Long context
Q5_K_M 2.7 GB 4.4 GB 32K 14 −0.8% ppl Long context
Q4_K_M 2.3 GB 4.0 GB 32K 17 −1.9% ppl Recommended
Q3_K_M 1.8 GB 3.6 GB 32K 21 −5.4% ppl Long context
Q2_K 1.6 GB 3.3 GB 32K 24 −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
$ llama-server \
    -hf Qwen/Qwen3-4B:Q4_K_M \
    -c 8192 -ngl 99

The engine underneath most of the others. Every knob is exposed. More on llama.cpp.

01Download is 2.3 GB. Keep it on an SSD — a first load off a spinning disk takes minutes.
02With no GPU, thread count matters more than clock. Start at one thread per physical core.
03There is room to go to the model's full 32K context on this card.
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