Q. 355.0( 3 Votes )

The length and the breadth and the height of a room are 735 cm, 625 cm and 415 cm. Find the length of the largest scale measuring instrument which can measure all the three dimensions.

Answer :

The length of the largest scale measuring instrument which can measure all the three dimensions is the g. c. d of their measures.

735 = 5 × 3 × 7 × 7


635 = 5 × 5 × 5 × 5


415 = 5 × 83


Therefore, g. c. d(735, 625, 415) = 5


So, the length of the largest scale is 5 cm.


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