Your browser records all of the web pages you visit and syncs that history between every browser device. Your history syncs to your account (Google, Microsoft, etc.) in the cloud. Deleting your history on one device will sync across all your devices and cloud account (although you might want to double-check that it happens).
Remember that your online Google or Microsoft account stores information beyond your browser history. Microsoft saves your history for Bing search, Office, and other Microsoft products. Google remembers your history on YouTube, Maps, Google Search, and other Google products.
You can view and manage your Chrome history from the Chrome browser. Note that Chrome may not have all of your online activity history. Google stores your activity and location history it collects from other Google products in your Google account. You’ll find additional search and usage history at history.google.com.

Deleting your Edge browsing data will clear your history across all of your synced devices. If you want to delete history on just one device, first turn off sync. Additional history is in your Microsoft cloud account at https://account.microsoft.com/.

You can choose a time range and types of data to delete in your Edge history.

Firefox gives you many options for clearing all or just portions of your browsing history.
Alternatively, you can click History > Manage history and select from the options for dates and items to clear. You can right-click on an individual record to:
