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Interactive Utility

Llama 3.1 (8B) VRAM Calculator

Stop guessing your hardware needs for Llama 3.1 (8B). Calculate the exact VRAM required for inference based on parameter count, quantization, and KV cache, and see which machines can actually run it.

Model

Custom: billion

The community default. Best size-to-quality ratio.

4k32k128k

Memory to run it

7.3GB
Weights (Q4_K_M)
4.8 GB
KV cache (8k)
1.0 GB
Runtime overhead
1.5 GB
System RAM to load
8 GB
Model file on disk
5.1 GB

Hardware match

MacBook Air M-series (16GB) or RTX 4060 (8GB)

Fits a modern laptop or an entry gaming GPU.

Rough decode speed

~62 tok/s

Ballpark on RTX 4070-class, bounded by memory bandwidth. Real numbers land 30–50% either side depending on framework, prompt length and thermals.

Llama 3.1 (8B) memory requirements by quantisation

Estimated at an 8k-token context. Llama 3.1 (8B) is 8B parameters; the arithmetic and its assumptions are set out below.

QuantisationWeightsTotal VRAMRuns on
FP16 (unquantised)16.0 GB18.5 GBRTX 3090 / 4090 (24GB) or Mac Studio (64GB)
Q8_0 (8-bit)8.5 GB11.0 GBRTX 4080 (16GB) or Mac mini (24GB)
Q6_K (6-bit)6.6 GB9.1 GBRTX 4080 (16GB) or Mac mini (24GB)
Q5_K_M (5-bit)5.7 GB8.2 GBRTX 4080 (16GB) or Mac mini (24GB)
Q4_K_M (4-bit)4.8 GB7.3 GBMacBook Air M-series (16GB) or RTX 4060 (8GB)
Q3_K_M (3-bit)3.9 GB6.4 GBMacBook Air M-series (16GB) or RTX 4060 (8GB)

Arithmetic over stated assumptions, not a benchmark. Weights are parameter count times bits-per-weight; the KV cache term assumes grouped-query attention; 1.5GB is reserved for runtime overhead.

Size a related model

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<iframe src="https://fathomlayer.com/embed/hardware-calculator?p=8" width="100%" height="600" frameborder="0" style="border-radius: 12px; border: 1px solid rgba(255,255,255,0.1);"></iframe>

How this math works

Running Large Language Models locally is entirely bottlenecked by memory. Raw compute (TFLOPS) dictates your generation speed, but VRAM capacity dictates if the model will load at all.

  • Model Weights: At FP16 (unquantized), every 1 Billion parameters requires ~2GB of VRAM. At Q4 (4-bit quantization), that drops to ~0.7GB per 1B parameters.
  • KV Cache (Context Window): As you feed text into the model, it stores attention states in memory. A 32k context window on a 70B model requires several extra Gigabytes of RAM independent of the model weights.
  • Overhead: CUDA and operating systems reserve memory (usually 1-2GB), meaning a 24GB RTX 4090 cannot realistically load a 23.5GB model.