Question

Find the greatest possible length which can be used to measure exactly the lengths 4m 96cm, 10m, 16m 65cm?

Answer 1

Required length = H.C.F. of 495 cm, 900 cm and 1665 cm.  495 = 32 x 5 x 11,  900 = 22 x 32 x 52 ,  1665 = 32 x 5 x 37.  H.C.F. = 32 x 5 = 45.  Hence, required length = 45 cm.

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