Applying a content defined maximum size bound on blocks produced by content defined segmentation of data by calculating the size of the interval of data between a newly found candidate segmenting position and a last candidate segmenting position of the same or higher hierarchy level, and then using the intermediate candidate segmenting positions of that interval if the size of the interval exceeds the maximum size bound, or discarding the intermediate candidate segmenting positions of that interval if the size of the interval does not exceed the maximum size bound.