Llama 3.3 70B Instruct on RTX 5070 Ti (16GB) — VRAM, KV Cache & Throughput
Llama 3.3 70B Instruct (70.55B total, 70.55B active, Dense GQA) uses 39.6 GiB of 4-bit weights (Q4_K_M), requiring 42.67 GiB total at 8K context and 50.17 GiB at 32K on RTX 5070 Ti (~1.9 tok/s decode).
Exceeds Available GPU Memory
Measured GGUF shard size
HF config.json ↗
Required GPU Memory
42.67 GiB
45.82 GB (decimal)
Usable Hardware Memory
15.2 GiB
16 GB (physical)
Safe Headroom
-27.47 GiB
267% utilization
Est. Decode Throughput
~1.9 tok/s
70.55B active params
Est. Prefill Throughput
~354 tok/s
4K Prompt TTFT: ~11577 ms
Est. Cost / 1M Tokens
$48.25
Dense GQA · Llama 3.3
Recommended Hardware for Current Configuration
Best Single GPU
A40 48GB (48GB)
~$5,200
Best Value / Used GPU
RTX A6000 (48GB)
~$4,500
Apple Unified Memory
Ryzen AI Max+ 395 128GB
~$1,999
Cloud From
RunPod · $0.33 / hr
1x RTX A6000
Production Launch Commands
llama.cpp (GGUF)
llama-server -hf unsloth/Llama-3.3-70B-Instruct-GGUF:Q4_K_M \ --ctx-size 8192 -ngl 999 --flash-attn
vLLM
vllm serve meta-llama/Llama-3.3-70B-Instruct \ --max-model-len 8192 --gpu-memory-utilization 0.92
Live Token Speed Simulator (TTFT ~11577ms · ~1.9 tok/s)
[Llama 3.3 70B Instruct · 42.67 GiB] allocated on target GPU. Prefill completed in TTFT window; streaming autoregressive tokens at memory-bandwidth-bound rate...
Cloud GPU Comparison & Rent-vs-Buy TCO
Verified public rates across RunPod, Vast.ai, Vultr, and DigitalOcean.
Purchase break-even
~154.1 months
Est. local power: $6.38 / mo
| Provider | Recommended Instance | Total VRAM | Hourly Rate | Monthly at Selected Hours | Billing Mode | Deploy |
|---|---|---|---|---|---|---|
| RunPod | 1x RTX A6000 (Community Cloud) | 48 GB | $0.33 / hr | $40.13 / mo | Per-second | Deploy GPU ↗ |
| Vast.ai | 1x A100 80GB SXM (Verified Host · SXM4) | 80 GB | $0.44 / hr | $53.75 / mo | Spot / On-demand | Deploy GPU ↗ |
| Vultr ($300 Free Credit*) | 1x L40S 48GB (Dedicated Instance · $300 Credit*) | 48 GB | $1.67 / hr | $203.19 / mo | Hourly | Deploy GPU ↗ |
| Vultr Cloud GPU | 1x L40S 48GB (Dedicated Instance) | 48 GB | $1.67 / hr | $203.19 / mo | Hourly | Deploy GPU ↗ |
| DigitalOcean | 1x RTX 6000 Ada (Dedicated Instance) | 48 GB | $1.57 / hr | $190.91 / mo | Per-second | Deploy GPU ↗ |
Rates reflect public listings on the verification date and fluctuate with regional inventory.
Fine-Tuning VRAM Requirements (QLoRA / LoRA / Full) — Llama 3.3 70B Instruct
QLoRA (4b)
Exceeds Available GPU Memory
50.68 GiB
Model Weights: 39.6 GiB · Gradients + Optimizer: 9.88 GiB · Act: 1.2 GiB
Recommended GPU: RTX PRO 6000 Blackwell (96GB)
LoRA (16b)
Exceeds Available GPU Memory
148.55 GiB
Model Weights: 131.41 GiB · Gradients + Optimizer: 15.52 GiB · Act: 1.62 GiB
Recommended GPU: Instinct MI300X 192GB (192GB)
Full BF16
Exceeds Available GPU Memory
541.63 GiB
Model Weights: 131.41 GiB · Gradients + Optimizer: 407.37 GiB · Act: 2.85 GiB
Recommended GPU: 4x B200 180GB (720GB)
Engineering Sizing Notes & Optimization Playbook
Quick Hardware Verdict
A single RTX 5070 Ti (16GB) cannot hold 4-bit Llama 3.3 70B Instruct (42.67 GiB at 8K) entirely in VRAM. Use multi-GPU tensor parallelism, offload layers to system RAM, or deploy on a larger cloud GPU.
KV Cache & Runtime Tuning
Llama 3.3 70B Instruct uses Dense GQA (70.55B total, 70.55B active per token). Moving from 8K to 32K context expands FP16 KV cache from 2.5 GiB to 10 GiB; enabling 8-bit KV cache (llama.cpp -ctk q8_0 -ctv q8_0 or vLLM --kv-cache-dtype fp8) saves 5 GiB at 32K (reducing total VRAM to 45.17 GiB).
VRAM Scaling Across Context Windows (4K to 128K, 4-bit Weights)
Quantization Precision & Memory Matrix — Llama 3.3 70B Instruct @ 8K
| Quantization Format | Weights (GiB) | KV Cache | Total VRAM (GiB) | Decode Speed | Compatibility (RTX 5070 Ti) | Recommended GPU | Data Source |
|---|---|---|---|---|---|---|---|
| Native Weights (BF16 / FP8 / MXFP4 — Lossless) (BF16) | 131.41 GiB | 2.5 GiB | 134.48 GiB (144.4 GB) | ~0.8 tok/s | Exceeds Available GPU Memory | Instinct MI300X 192GB (192GB) | Official checkpoint size |
| FP8 / GGUF Q8_0 (8-bit — Near-Lossless) (Q8_0) | 69.83 GiB | 2.5 GiB | 72.9 GiB (78.28 GB) | ~0.9 tok/s | Exceeds Available GPU Memory | RTX PRO 6000 Blackwell (96GB) | Measured GGUF shard size |
| GGUF Q6_K (6-bit — High Precision) (Q6_K) | 53.91 GiB | 2.5 GiB | 56.98 GiB (61.18 GB) | ~1.3 tok/s | Exceeds Available GPU Memory | RTX PRO 6000 Blackwell (96GB) | Measured GGUF shard size |
| GGUF Q5_K_M (5-bit — Balanced) (Q5_K_M) | 46.52 GiB | 2.5 GiB | 49.59 GiB (53.25 GB) | ~1.5 tok/s | Exceeds Available GPU Memory | RTX PRO 6000 Blackwell (96GB) | Measured GGUF shard size |
| Q4_K_M / UD-Q4_K_XL / AWQ (4-bit — Recommended) (Q4_K_M) | 39.6 GiB | 2.5 GiB | 42.67 GiB (45.82 GB) | ~1.9 tok/s | Exceeds Available GPU Memory | A40 48GB (48GB) | Measured GGUF shard size |
| GGUF IQ4_XS (4.25-bit — Compact) (IQ4_XS) | 35.33 GiB | 2.5 GiB | 38.4 GiB (41.23 GB) | ~2.3 tok/s | Exceeds Available GPU Memory | A40 48GB (48GB) | Measured GGUF shard size |
| GGUF Q3_K_M (3-bit — Low VRAM) (Q3_K_M) | 31.91 GiB | 2.5 GiB | 34.98 GiB (37.56 GB) | ~2.7 tok/s | Exceeds Available GPU Memory | A40 48GB (48GB) | Measured GGUF shard size |
| GGUF UD-Q2_K_XL (2-bit — Extreme MoE) (UD-Q2_K_XL) | 25.11 GiB | 2.5 GiB | 28.18 GiB (30.26 GB) | ~4.1 tok/s | Exceeds Available GPU Memory | Radeon AI PRO R9700 32GB (32GB) | Measured GGUF shard size |
Technical Specifications & FAQ
Does Llama 3.3 70B Instruct fit on RTX 5070 Ti (16GB)?
In 4-bit (Q4_K_M) at 8,192 context, Llama 3.3 70B Instruct requires 42.67 GiB total GPU memory (39.6 GiB weights + 2.5 GiB KV cache + 0.57 GiB runtime buffers) against 15.2 GiB usable on RTX 5070 Ti, delivering ~1.9 tok/s decode.
How much VRAM does Llama 3.3 70B Instruct need at 32K context?
At 32,768 context tokens, Llama 3.3 70B Instruct (Dense GQA) allocates 10 GiB for KV cache and state, bringing total 4-bit VRAM to 50.17 GiB (53.87 GB decimal).
Evaluate This Model on Other GPUs
RTX 3060 12GB (12GB)RTX 4060 Ti 16GB (16GB)RTX 4070 Ti Super (16GB)RTX 4080 Super (16GB)RTX 5070 12GB (12GB)RTX 5080 (16GB)RTX 3090 (24GB)RTX 4090 (24GB)RTX 4090 D (24GB)RTX 5090 (32GB)RTX 5090 D (32GB)RTX A6000 (48GB)RTX 6000 Ada (48GB)RTX PRO 6000 Blackwell (96GB)DGX Spark (GB10 128GB) (128GB)L4 24GB (24GB)A40 48GB (48GB)L20 48GB (48GB)L40S 48GB (48GB)A800 80GB SXM (80GB)A100 80GB SXM (80GB)H800 80GB SXM (80GB)H100 80GB SXM (80GB)H20 96GB HBM3 (96GB)H20 141GB HBM3e (141GB)H200 141GB SXM (141GB)B200 180GB (180GB)B300 288GB Blackwell Ultra (288GB)Ascend 910B 64GB (昇腾) (64GB)Ascend 910C 128GB (昇腾) (128GB)Atlas 300I Duo 96GB (310P) (96GB)MLU590 80GB (寒武纪思元) (80GB)DCU K100-AI 64GB (海光深算) (64GB)MetaX C500 64GB (沐曦曦云) (64GB)Kunlunxin P800 64GB (昆仑芯) (64GB)MTT S4000 48GB (摩尔线程) (48GB)Radeon RX 7900 XTX 24GB (24GB)Radeon AI PRO R9700 32GB (32GB)Ryzen AI Max+ 395 128GB (128GB)Instinct MI300X 192GB (192GB)Instinct MI325X 256GB (256GB)Instinct MI355X 288GB (288GB)Arc Pro B60 24GB (24GB)Gaudi 3 128GB HBM2e (128GB)Mac mini M4 Pro 64GB (64GB)MacBook Pro M4 Max 128GB (128GB)Mac Studio M4 Ultra 256GB (256GB)Mac Studio M3 Ultra 512GB (512GB)
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