Can the NVIDIA RTX 3070 run Qwen3 4B?

RTX 3070 × Qwen3 4B8K context
YesRuns fully on the GPU
Memory at Q8_06.1 GB of 8 GB
Weights 4.3 GBKV cache 1.2 GBRuntime 0.6 GB
QuantQ8_0Near-lossless
Memory6.1 GBof 8 GB usable
Speed~63tokens per second
  1. FP16
  2. Q8_0
  3. Q6_K
  4. Q5_K_M
  5. Q4_K_M
  6. Q3_K_M
  7. Q2_K

Yes. The NVIDIA RTX 3070 can run Qwen3 4B fully in VRAM at Q8_0 (near-lossless), using about 6.1 GB of the 8 GB available, at roughly 63 tokens/second.

Run it with Ollama

With Ollama installed, one command downloads and starts Qwen3 4B:

ollama run qwen3:4b

Ollama's default download is Q4_K_M (about 4.2 GB here). You have room for Q8_0, which is near-lossless: pick that GGUF in LM Studio or from Hugging Face.

Run it in the cloud

No NVIDIA RTX 3070? Run Qwen3 4B in the cloud.

Rent a cloud GPU by the hour. No upfront cost, stop any time.

Memory needed by quantization

At 8,192 tokens of context. The black line marks the 8 GB the NVIDIA RTX 3070 can use.

QuantQualityMemoryFits?Speed
FP16Full quality9.8 GBToo big—
Q8_0Near-lossless6.1 GBFits~63 tok/s
Q6_KExcellent5.1 GBFits~82 tok/s
Q5_K_MVery good4.7 GBFits~94 tok/s
Q4_K_MGood, most popular4.2 GBFits~110 tok/s
Q3_K_MNoticeably degraded3.8 GBFits~137 tok/s
Q2_KHeavily degraded3.3 GBFits~178 tok/s

Frequently asked questions

Can NVIDIA RTX 3070 run Qwen3 4B?

Yes. The NVIDIA RTX 3070 can run Qwen3 4B fully in VRAM at Q8_0 (near-lossless), using about 6.1 GB of the 8 GB available, at roughly 63 tokens/second.

How much VRAM does Qwen3 4B need?

About 4.2 GB at Q4_K_M with 8,192 tokens of context, and about 9.8 GB at full FP16 precision.

How fast is Qwen3 4B on the NVIDIA RTX 3070?

Roughly 63 tokens per second at Q8_0, estimated from the NVIDIA RTX 3070's 448 GB/s memory bandwidth.