Yes — with 7.3 GB to spare

Gemma 3 4B at Q4_K_M fits your GeForce RTX 4070 entirely on the GPU at 8K context, at an estimated 126 tokens per second. There is room for its full 128K window.

Fully on GPU 8K context Q4_K_M · 2.4 GB Gemma Terms of Use Released Mar 2025 Vision

Vision-capable at 4B. Superseded by Gemma 4 E4B, still everywhere.

What hardware do I need for Gemma 3 4B? →

The VRAM budget

weights 2.4 GB
Weights 2.4 GB KV cache @ 8K 0.30 GB Runtime overhead 0.6 GB Free 7.3 GB of 10.6 GB

Quantisation ladder

QuantWeightsTotal @ 8KMax contextTok/sQualityFit
F16 8.0 GB 8.9 GB 80K 38 Reference Long context
Q8_0 4.3 GB 5.2 GB 128K 72 −0.1% ppl Long context
Q6_K 3.3 GB 4.2 GB 128K 93 −0.4% ppl Long context
Q5_K_M 2.8 GB 3.7 GB 128K 107 −0.8% ppl Long context
Q4_K_M 2.4 GB 3.3 GB 128K 126 −1.9% ppl Recommended
Q3_K_M 2.0 GB 2.9 GB 128K 156 −5.4% ppl Long context
Q2_K 1.7 GB 2.6 GB 128K 182 −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. This model interleaves sliding-window layers (1024 tokens, 1 global in 6), which is why its cache barely grows with context.

How to run it

terminal
$ ollama pull gemma3:4b
$ OLLAMA_CONTEXT_LENGTH=8192 \
    ollama run gemma3:4b

The default. One binary, a model registry, an OpenAI-compatible port. More on Ollama.

01Download is 2.4 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.
03There is room to go to the model's full 128K context on this card.
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