Can you run Llama 3.3 70B Instruct on RTX 4070 Ti SUPER?

Llama 3.3 70B Instruct Q4_K_M on the NVIDIA GeForce RTX 4070 Ti SUPER — verdict, VRAM math and estimated speed.

No
Quick answer

No, Llama 3.3 70B Instruct does not realistically run on the NVIDIA GeForce RTX 4070 Ti SUPER. 42 GB weights at Q4_K_M vs 14.4 GB usable VRAM; ~1 tok/s est..

Cheapest tracked card that runs it: NVIDIA RTX PRO 6000 Blackwell (96 GB)

VERDICT
Does not fit
EST. SPEED
~1 tok/s
WEIGHTS
42 GB Q4_K_M

VRAM math and speed are ModelFit engine estimates, not measurements. Commands are registry-verified Ollama tags.

Cite this page: ModelFit, Llama 3.3 70B Instruct on RTX 4070 Ti SUPER, https://modelfit.io/can-i-run/llama3.3-70b-q4-on-rtx-4070-ti-super/, updated August 2026, CC BY 4.0.

Last updated: August 16, 2026 · Editor: ModelFit Team

VRAM
16 GB (14.4 usable)
Model weights
42 GB Q4_K_M
Est. speed
~1 tok/s
First token
~5.3s

Memory math: weights + context vs budget

Weights take 42 GB. Context costs extra KV-cache on top — this is where long-context sessions break on cards that technically fit the weights.

ContextKV-cacheTotalFits
8k tokens2.5 GB44.5 GBOver
16k tokens5.0 GB47.0 GBOver
32k tokens10.0 GB52.0 GBOver
64k tokens20.0 GB62.0 GBOver
128k tokens40.0 GB82.0 GBOver

KV-cache figures assume an fp16 cache, the llama.cpp/Ollama default. Standard GQA models use a size-class estimate (8 KV heads x 128 head dim class); hybrid linear-attention models (Qwen3.5/3.6, Qwen3-Next) use the exact per-token cost from their published config, since only their sparse full-attention layers cache KV. A q8_0 KV cache roughly halves either figure. Estimates, not measurements.

Try a different quant

Q6_K57.9 GBOver
Q8_075 GBOver

Upgrade path

The cheapest tracked card that runs Llama 3.3 70B Instruct comfortably is the NVIDIA RTX PRO 6000 Blackwell (96 GB VRAM).

See the RTX PRO 6000 page

Llama 3.3 70B Instruct on RTX 4070 Ti SUPER: FAQ

Can the NVIDIA GeForce RTX 4070 Ti SUPER run Llama 3.3 70B Instruct?

Not realistically. Llama 3.3 70B Instruct (Q4_K_M) needs about 42 GB against 14.4 GB usable VRAM on the RTX 4070 Ti SUPER; even with heavy CPU offload it would run at unusable speed.

How much VRAM does Llama 3.3 70B Instruct need?

About 42 GB for the weights at Q4_K_M, plus KV-cache for context: roughly 5.0 GB extra at 16k tokens. The RTX 4070 Ti SUPER budget is 14.4 GB (16 GB x 90%).

What is the best quantization of Llama 3.3 70B Instruct for the RTX 4070 Ti SUPER?

Stick with the Q4_K_M build at 42 GB — every heavier quant exceeds the 14.4 GB usable VRAM.

What GPU do I need to run Llama 3.3 70B Instruct comfortably?

The cheapest tracked card that runs Llama 3.3 70B Instruct (Q4_K_M) fully in VRAM is the NVIDIA RTX PRO 6000 Blackwell (96 GB).