You can easily change your password in your Gmail account. It is too easy. First you need to log in to your Gmail account. In case you try the load basic html to get the account faster. Then you need to go to the settings option which is in your right hand of this page.
Now select the accounts tab. In this new opened page you get Google account settings at the bottom.
Click on this link, you get the personal settings where you can find the security option.
In this option you get the changing password. In this link you get the textbox (places to write) to write the password. Put your current password and then put the new password and confirm the password. Click on the save button, it will make your desired changes to your Gmail account.
In standard view option you get an arrow sign beside your account email, by clicking on this arrow you get the account settings option, where you can easily change your password.