Yes — with 201.5 GB to spare

Llama 3.2 3B Instruct at Q4_K_M fits your CPU only · DDR5 8-channel server entirely on the GPU at 8K context, at an estimated 71 tokens per second. There is room for its full 128K window.

Fully on GPU 8K context Q4_K_M · 1.8 GB Llama 3.2 Community Released Sep 2024

The 2024 "it just runs" model for 8 GB laptops. Qwen3.5 4B does the same job better now.

What hardware do I need for Llama 3.2 3B Instruct? →

The VRAM budget

weights 1.8 GB
Weights 1.8 GB KV cache @ 8K 0.88 GB Runtime overhead 0.6 GB Free 201.5 GB of 204.8 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 6.0 GB 7.5 GB 128K 22 Reference Long context
Q8_0 3.2 GB 4.7 GB 128K 41 −0.1% ppl Long context
Q6_K 2.5 GB 3.9 GB 128K 52 −0.4% ppl Long context
Q5_K_M 2.1 GB 3.6 GB 128K 61 −0.8% ppl Long context
Q4_K_M 1.8 GB 3.3 GB 128K 71 −1.9% ppl Recommended
Q3_K_M 1.5 GB 2.9 GB 128K 88 −5.4% ppl Long context
Q2_K 1.3 GB 2.7 GB 128K 103 −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 meta-llama/Llama-3.2-3B-Instruct:Q4_K_M \
    -c 8192 -ngl 99

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

01Download is 1.8 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 128K context on this card.
See all models for this rig Compare with another model