The latest Google SEO search algorithm update was a mobile-friendly update introduced in April 2015. This increased the importance of mobile-friendliness as a ranking factor for searches from a mobile device. The update was nicknamed “Mobilegeddon”. You can check if your website meets Google guidelines in the mobile friendy testing tool. This test will analyze a URL and report if the page has a mobile-friendly design.
There have been many algorithym updates dating back from 2003. Most notable are Penguin, Panda, Pigeon and Hummingbird. Hubspot have recently teamed up with Moz to give you a snapshot of all of the major changes that Google has implemented over the years. See the infographic below for easy at a glance changes.