Yes, just — 0.4 GB spare

Qwen3 14B at Q4_K_M fits your Radeon RX 7700 XT entirely on the GPU at 8K context, at an estimated 31 tokens per second. Past 10K 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 · 8.3 GB Apache 2.0 Released Apr 2025

The largest Qwen3 that fits a 12 GB card at Q4 with room for context.

What hardware do I need for Qwen3 14B? →

The VRAM budget

weights 8.3 GB
Weights 8.3 GB KV cache @ 8K 1.25 GB Runtime overhead 0.6 GB Free 0.4 GB of 10.6 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 27.6 GB 29.4 GB ~1.8 Reference 18.8 GB over
Q8_0 14.6 GB 16.5 GB ~5.1 −0.1% ppl 5.9 GB over
Q6_K 11.3 GB 13.2 GB ~9.6 −0.4% ppl 2.6 GB over
Q5_K_M 9.8 GB 11.6 GB 1K ~16 −0.8% ppl 1.0 GB over
Q4_K_M 8.3 GB 10.2 GB 10K 31 −1.9% ppl Recommended
Q3_K_M 6.7 GB 8.6 GB 20K 39 −5.4% ppl Long context
Q2_K 5.8 GB 7.6 GB 27K 45 −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/Qwen3-14B:Q4_K_M \
    -c 8192 -ngl 99

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

01Download is 8.3 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.
03Only 0.4 GB is spare, so a long system prompt can still push it over. Its real ceiling here is 10K context.
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