Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm and 7 meter 65 cm ?



Which greatest possible length can be used to measure exactly 15 meter 75 cm, 11 meter 25 cm & 7 meter 65 cm ?

A. 45

B. 255

C. 55

D. 36

Answer : A. 45


Explanation:

    The HCF for given length.
    --> 15 meter 75 cm = 1575 cm.
    --> 11 meter 25 cm = 1125 cm
    --> 7 meter 65 cm = 765 cm.

    1575 = 5 * 5 * 3 * 3 * 7
    1125 = 5 * 5 * 5 * 3 * 3
    765 = 5 * 3 * 3 * 17

    HCF of 1575 , 1125 and 765 is 45.



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