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Can RTX 3070 8GB run Qwen3-4B-Thinking-2507?

NVIDIA · 8 GB GDDR6 · 448 GB/s bandwidth · Alibaba · 4.0B · model ctx up to 256K

Yes — the RTX 3070 8GB (8 GB GDDR6) can run Qwen3-4B-Thinking-2507. At Q4 with the default 8K context it needs ≈ 4.0 GB VRAM (weights 2.2 GB + KV cache 0.8 GB + 1 GB runtime overhead), which fits within 8 GB. Decode at Q4/8K: ≈ 71.3 tok/s (estimated, batch 1). FP16 needs ≈ 9.8 GB — does not fit on this card. Estimates come from memory-bandwidth math; rows tagged measured override estimates. Relative ranking is more reliable than absolute tok/s. Methodology.

Fit & speed by quant and context

QuantContextVRAM neededFits?tok/s (decode)
Q44K3.6 GBYes71.3 est.
Q48K default4.0 GBYes71.3 est.
Q432K6.4 GBYes71.3 est.
FP164K9.4 GBNo40.6 est.
FP168K default9.8 GBNo37.3 est.
FP1632K12.2 GBNo24.1 est.

Fits = weights + KV(ctx) + 1 GB overhead ≤ 95% of VRAM. Measured anchors are context-agnostic; the fit verdict is recomputed per context. A missing tok/s means the model is far beyond this card (offload-only territory).

VRAM breakdown at 8K context

QuantWeightsKV cacheOverheadTotal neededRTX 3070 8GB VRAM
Q42.2 GB0.8 GB1 GB4.0 GB8 GB
FP168.0 GB0.8 GB1 GB9.8 GB8 GB

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