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Can RTX 4070 12GB run gemma-3-4b-it?

NVIDIA · 12 GB GDDR6X · 504 GB/s bandwidth · Google · 4.3B · model ctx up to 128K

Yes — the RTX 4070 12GB (12 GB GDDR6X) can run gemma-3-4b-it. At Q4 with the default 8K context it needs ≈ 4.15 GB VRAM (weights 2.37 GB + KV cache 0.78 GB + 1 GB runtime overhead), which fits within 12 GB. Decode at Q4/8K: ≈ 82.2 tok/s (estimated, batch 1). FP16 (≈ 10.38 GB) also fits, at ≈ 22.6 tok/s (estimated). 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)
Q44K3.76 GBYes82.2 est.
Q48K default4.15 GBYes82.2 est.
Q432K6.49 GBYes82.2 est.
FP164K9.99 GBYes22.6 est.
FP168K default10.38 GBYes22.6 est.
FP1632K12.72 GBNo57.5 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 4070 12GB VRAM
Q42.37 GB0.78 GB1 GB4.15 GB12 GB
FP168.6 GB0.78 GB1 GB10.38 GB12 GB

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