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Should Google add this feature in the future, we will update this post with the directions.
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Unfortunately, typing "chrome:history" in the iOS version of Chrome doesn't work, as it does for the Android version. Check the boxes next to each item you want to clear, then tap the Clear button. You'll be presented with a list of data types to clear. Go to Menu > Settings > Advanced > Privacy, then tap on Clear browsing data.
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If you only want to delete browsing history, follow these steps: If you'd rather clear everything, you can do so by clicking on the Clear all browsing data option. You can remove multiple items from the history by tapping at the left of the item, then tapping on Remove selected items. Tapping on the drop-down icon, at the right of each item, will give you the option to remove it from history, or view more history for that particular site. The browsing history will appear with the most recent history at the top. This also works for the desktop version of Chrome. To view browsing history in Chrome for Android, type, "chrome:history" in the omnibox (address bar). Here's how to view and clear your browsing history in Chrome for mobile. You can also view your browsing history, but it's not a feature you can access from the menu. As with most mobile and desktop browsers, Chrome allows you to delete your browsing history from within its settings. The Chrome for mobile release has been well-received by iOS and Android users alike, though for Android, Chrome is only available on devices with Android 4.0 and up, like the new Samsung Galaxy S3 or the Samsung Galaxy Nexus.
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