---
title: Bound Unique Reach When Channel Totals Cannot Reveal Their Overlap — Free
description: Two channels can each reach hundreds of people without reaching hundreds of different people. Show the bounds implied by marginal totals before reporting a combined audience or frequency.
category: business
last_verified: 2026-10-01
freshness: green
published: 2026-10-01
canonical_url: https://gratis-ai.pages.dev/articles/cross-channel-reach-overlap-bounds.html
companion_app_url: https://gratis-ai.pages.dev/apps/cross-channel-reach-overlap-bounds.html
reading_time_minutes: 10
tags: business, reachbounds, local-first, auditable-working, non-sensitive-inputs
---

# Bound Unique Reach When Channel Totals Cannot Reveal Their Overlap — Free

Two channels can each reach hundreds of people without reaching hundreds of different people. Show the bounds implied by marginal totals before reporting a combined audience or frequency.

**Free and complete.** This guide is a standalone free tool — no account, no card, anywhere. The only paid option is one optional extra outcome: $4 one-time. Nothing in the free tier is gated.

## Who it's for

Small teams reporting aggregate reach without cross-channel identity data

## What's free

- one full, unwatermarked overlap-bounds range sheet App execution
- three invented readings and unlimited calculations in the paired article demo
- copy the complete working and boundary; voluntarily share non-sensitive input state

## Optional paid add-on

**$4 one-time.**

- subsequent overlap-bounds range sheet App calculations through a browser-local convenience signal
- boundary-preserving print and row-and-summary CSV of this overlap-bounds range sheet; conditional retyping budget uses only your entered minutes
- five local headline/count/time summaries, separately deletable; full-input draft is separate and not a backup

## Sources & verification

- Tool: GratisAI local-first instrument (no key, no account)
- Primary source: the free tool itself (local-first, no external dependency)
- Last verification: 2026-10-01 (green)

## Use it

- Interactive guide: https://gratis-ai.pages.dev/articles/cross-channel-reach-overlap-bounds.html
- Companion app: https://gratis-ai.pages.dev/apps/cross-channel-reach-overlap-bounds.html
- This machine-readable mirror: /mirrors/cross-channel-reach-overlap-bounds.md

*Generated free at https://gratis-ai.pages.dev/articles/cross-channel-reach-overlap-bounds.html — every guide on GratisAI is a complete, working tool. $0, no account, no card, anywhere.*