Apple has just released iOS 8.1.3 for iPhone and iPad devices. The over-the-air update has a number of fixes and improvements, including one that should cut down on the amount of storage needed for future software updates.
Here's the change log for iOS 8.1.3, the download for which should be around 240MB, depending on which device you're downloading it on.
Reduces the amount of storage required to perform a software update
Fixes an issue that prevented some users from entering their Apple ID password for Messages and Face Time
Addresses an issue that caused Spotlight to stop displaying app results
Fixes an issue which prevented multitasking gestures from working on iPad.
Adds new configuration options for education standardized testing.