The length, breadth and height of a room are $$1050\ \text{cm}$$, $$750\ \text{cm}$$ and $$425\ \text{cm}$$, respectively. The length of the longest tape which can measure the three dimensions of the room exactly is

A

$$25\ \text{cm}$$

B

$$50\ \text{cm}$$

C

$$125\ \text{cm}$$

D

$$150\ \text{cm}$$