The shell can use Gigavolt and Magnitude 8, which can be powerful. The head has a chance of using El Niño on its second turn, but if the player keeps up their offensive the head should not be out long enough to get a chance.
The battle can be won if either the head or the shell is killed. They both drop items, in this case, the Dragon Claws for Sabin. Thus, it is possible to kill the shell and head simultaneously and receive two of the weapon. Depending on how the player is using Sabin, this can be advantageous, as the Dragon Claws is one of Sabin's best weapons.
It can be killed with one hit if the player casts Break on the shell, or by using the Chainsaw Tool against the head. Otherwise, Fira spells are most effective.
The easiest way to kill both the head and the shell simultaneously is to weaken both to under a thousand HP, then have Celes cast Fira on both parts. Alternately, a weaker party may want to summon Catoblepas as both the shell and head are vulnerable to petrification. Another easy way to kill both parts is to cast Banish, but if only the shell dies, killing the head after will still result in two Dragon Claws being awarded.