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Can RTX 4070 Ti Super 16GB run Llama-3.1-70B-Instruct?

NVIDIA · 16 GB GDDR6X · 672 GB/s bandwidth · Meta · 70.6B · model ctx up to 128K

No — Llama-3.1-70B-Instruct at Q4 needs ≈ 46.83 GB even at 4K context, beyond the RTX 4070 Ti Super 16GB's 16 GB GDDR6X. It would only run with heavy CPU/disk offload. Decode at Q4/8K: ≈ 1.5 tok/s (estimated, batch 1). FP16 needs ≈ 156.2 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)
Q44K46.83 GBNo2.0 est.
Q48K default53.83 GBNo1.5 est.
Q432K95.83 GBNo
FP164K149.2 GBNo
FP168K default156.2 GBNo
FP1632K198.2 GBNo

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 Ti Super 16GB VRAM
Q438.83 GB14.0 GB1 GB53.83 GB16 GB
FP16141.2 GB14.0 GB1 GB156.2 GB16 GB

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