Can an RTX 3090 run Gemma 4 12B Instruct?

Yes

Yes. At Q8_0 it needs 13.05 GB of the 23.2 GB available and generates around 62.9 tokens per second at an 8k context window.

The numbers

Gemma 4 12B Instruct has 11.96 billion parameters across 48 layers. The GeForce RTX 3090 has 24 GB of VRAM at 936 GB/s, of which about 23.2 GB is left for a model once the operating system has taken its share.

QuantisationTotal neededFitsSpeed
Q8_0 13.05 GB yes 62.9 t/s
Q6_K 10.34 GB yes 80.7 t/s
Q5_K_M 9.13 GB yes 92.5 t/s
Q4_K_M 7.94 GB yes 108.1 t/s
IQ4_XS 7.13 GB yes 122 t/s
Q3_K_M 6.66 GB yes 131.9 t/s
IQ3_XXS degraded 5.47 GB yes 165.6 t/s
Q2_K degraded 5.88 GB yes 152.3 t/s
IQ2_XXS degraded 4.08 GB yes 236.7 t/s

9 of the 9 levels fit. Levels marked degraded are listed for completeness, not as advice.

How long a conversation it holds

At Q8_0, memory rises with the length of the conversation because the attention cache keeps a key and value for every token. The longest window that still fits on this device is 256k tokens.

ContextCacheTotalFits
4k 0.38 GB 12.93 GB yes
8k 0.38 GB 13.05 GB yes
16k 0.38 GB 13.28 GB yes
32k 0.38 GB 13.75 GB yes
64k 0.38 GB 14.69 GB yes
128k 0.38 GB 16.56 GB yes

See how fast it feels

GeForce RTX 3090 running Gemma 4 12B Instruct at Q8_0

Wait for the first word227 ms
Then writes at62.9 tok/s
Whole answer3.0 s

YouWhy does my model use more memory when the conversation gets longer?

Model

Because of the KV cache. Every token you send leaves behind a key and a value vector in each layer of the model, and those stay in memory for as long as the conversation lasts.

The weights are a fixed cost: load a 4-bit 8B model and that is about 4.8 GB, whether you write one word or ten thousand. The cache is the part that grows, and it grows in a straight line with the number of tokens in the window.

How steeply depends on the model's attention design. With grouped-query attention, several query heads share one key-value pair, which cuts the cache by that ratio. Without it, every head keeps its own, and a long context can cost more memory than the weights themselves.

If you are short on memory, the first thing to try is lowering the context window in your runtime, not the quantisation.

Simulated from our estimate at a 512-token question, not a recording. Assumes nothing else is competing for the GPU. The same answer on RTX 4090 at Q8_0 would take about 2.7 s.

Keep going

Everything the GeForce RTX 3090 runs, the full breakdown for Gemma 4 12B Instruct, or check a different pairing in the calculator.