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Question
the length of three dinning talbles are 7m 50cm, 9m 75cm, 5m 25cm respectively . find the length of the longest rod that can measure the length of 3 tables exactly .
the length of three dinning talbles are 7m 50cm, 9m 75cm, 5m 25cm respectively . find the length of the longest rod that can measure the length of 3 tables exactly .
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Solution
7m 50cm = (7*100+50) cm = 750 cm
9m 75cm = (9*100+75) cm = 975 cm
5m 25cm = (5*100+25) cm = 525 cm
GCD(750,975,525) = 75
So the length of the longest rod = 75 cm
7m 50cm = (7*100+50) cm = 750 cm
9m 75cm = (9*100+75) cm = 975 cm
5m 25cm = (5*100+25) cm = 525 cm
GCD(750,975,525) = 75
So the length of the longest rod = 75 cm
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