Q35 of 128 Page 25

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.

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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