Google Chrome:
Close all the open tabs and windows for your browser.
Click on the menu in the top right hand corner of the screen and click on the 'Settings' option:
From the menu on the right side of the screen select the 'Privacy and security' option:
In the options that show up select the Clear Browsing History:
Change the drop down box for the 'Time range' to 'All time', ensure all options are ticked and click 'Clear data'
Mozilla Firefox:
Click the menu button in the top right hand corner and select Settings:
From the Menu on the right hand side select 'Privacy & Settings'
Scroll down until you see the 'Cookies and Site Data' option then click the 'Clear Data' button (I like to leave the 'Delete cookies and site data when Firefox is closed' option but that is personal choice.):
Make sure all the options are checked and then click the 'Clear' button.