Can the NVIDIA RTX 4070 run Gemma 3 4B?

Yes
QuantFP16Full quality
Memory10.3 GBof 12 GB
Speed~35tokens/s

Yes. The NVIDIA RTX 4070 can run Gemma 3 4B fully in VRAM at FP16 (full quality), using about 10.3 GB of the 12 GB available, at roughly 35 tokens/second.

Try other context lengths in the calculator →

Memory needed by quantization

At 8,192 tokens of context.

QuantQualityMemoryFits?Speed
FP16Full quality10.3 GBFits~35 tok/s
Q8_0Near-lossless6.3 GBFits~66 tok/s
Q6_KExcellent5.3 GBFits~86 tok/s
Q5_K_MVery good4.8 GBFits~99 tok/s
Q4_K_MGood, most popular4.3 GBFits~116 tok/s
Q3_K_MNoticeably degraded3.8 GBFits~144 tok/s
Q2_KHeavily degraded3.4 GBFits~188 tok/s

How to run Gemma 3 4B on the NVIDIA RTX 4070

With Ollama installed, one command downloads and starts it:

ollama run gemma3:4b

Ollama's default download is Q4_K_M (about 4.3 GB here). You have room for FP16, which is full quality: pick that GGUF in LM Studio or from Hugging Face.

GPUs that run Gemma 3 4B comfortably

Models that run well on the NVIDIA RTX 4070

Run it in the cloud

Don't want to buy hardware? Run Gemma 3 4B on a rented GPU today.

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