A method, non-transitory computer readable medium, and device that prefetchs includes identifying a candidate data block from one of one or more immediate successor data blocks. The identified candidate data block has a historical access probability value from an initial accessed data block which is higher than a historical access probability value for each of the other immediate successor data blocks and is above a prefetch threshold value. The identifying is repeated until a next identified candidate data block has the historical access probability value below the prefetch threshold value. In the repeating, the identifying next immediate successor data blocks is from the previously identified candidate data block and the historical access probability value for each of the next immediate successor data blocks is determined from the originally accessed data block. The identified candidate data block with the historical access probability value above the prefetch threshold value is fetched.