According to Samsung, the Galaxy S III and the Galaxy S III mini are 
not capable of running KitKat smoothly as both have only 1GB of RAM, 
which has apparently not been enough to get KitKat working properly on 
either device. Here’s the official statement that 
sammobile received from Samsung:
“In order to facilitate an effective upgrade on the 
Google platform, various hardware performances such as the memory (RAM, 
ROM, etc.), multi-tasking capabilities, and display must meet certain 
technical expectations. The Galaxy S3 and S3 mini 3G versions come 
equipped with 1GB RAM, which does not allow them to effectively support 
the platform upgrade. As a result of the Galaxy S3 and S3 mini 3G 
versions’ hardware limitation, they cannot effectively support the 
platform upgrade while continuing to provide the best consumer 
experience. Samsung has decided not to roll-out the KitKat upgrade to 
Galaxy S3 and S3 mini 3G versions, and the KitKat upgrade will be 
available to the Galaxy S3 LTE version as the device’s 2GB RAM is enough
 to support the platform upgrade.”