Hi-lift jack, shovel, and some time.
Bust a hole big enough for the jack to get in there (few inches square).
Dig down into the aggregate enough so the jack can get under the slab.
Jack jack jack. The slab will crack, and you and 1 or 2 other guys can grab the chunk and move it.
Concrete gets messy when it starts to breaking into smaller and smaller pieces, you want to avoid that. Cement is always messy
