The length, breadth and height of a room are 14 m 44 cm, 7 m 3 cm and 9 m 50 cm respectively. What is the length of the longest rod which can measure the dimensions of the room exactly? [HINT :Convert into cm and do next operation ]
Answers
Answer:
19cm
Step-by-step explanation:
The length, breadth and height of a room are 14 m 44 cm, 7 m 3 cm and 9 m 50 cm respectively
l = 14m 44cm= 1444 cm
b=7m3cm=703cm
h= 9m55cm=950cm
he length of the longest rod which can measure the dimensions of the room exactly = HCF of l, b, h
HCF of 1444,950,703
703)950(1
703
--------------------
247)703(2
494
------------------
209) 247(1
209
------------------
38) 209(5
190
--------------
19) 38(2
38
----------------
0
----------------
19) 1444(76
1444
----------------
0
----------------
HCF IS 19
the length of the longest rod which can measure the dimensions of the room exactly 19 cm