It reduces glare and deepens blue skies, making outdoor images appear more vibrant. 

Yes, this 77mm circular polarizer filter fits lenses with a 77mm front thread. 

The ultra-slim aluminum frame helps minimize vignetting, especially when using wide-angle camera lenses. 

Its Japan optical glass and 18 multi-layer coatings help reduce reflections while maintaining clear image quality and improved color saturation. 

This filter is an 82mm which will match up to your lens with the 82mm glass, however for the 58mm and 55mm you will need step up rings (pieces that have one end that would fit your thread on the lens, and the other the thread of the filter) and you will be able to use one filter for all 3. It’s a cheaper and effective way to keep costs down using step up rings as filters can get expensive 

https://www.amazon.com/dp/B00JL4KRD6