The length and breadth of a room are 6m 30 cm and 5m 25 cm. Find the largest rod which can measure the two dimensions of the room exactly.
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length of the room = 6m 30cm = 630 cm
breadth of the room = 5m 25cm = 525cm
prime factorization of 630 and 525 cm are as follows:
630 = 2*3*3*5*7
525 = 3*5*5*7
common factors= 3*5*7
H.C.F = 105
hence HCF of 630, 525 is 105
therefore the length of the largest rod is 105 cm which can measure the two dimensions of the room exactly
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