Formula
Required GPUs = ceiling[required tokens/second × (1 + redundancy) ÷ (per-GPU tokens/second × utilization)].
Every rate is applied in the unit shown beside its input. Values are calculated without intermediate rounding; displayed results are rounded for readability.
What the result means
The main result is a planning estimate of GPU count for the stated batch processing assumptions. Supporting values expose the capacity, reserve, time, or cost components behind that estimate.
This calculator is an engineering estimate, not a guarantee. Benchmark the exact model, hardware, provider, and prompt distribution before production sizing or procurement.