Aptitude Questions and Answers
Find the H.C.F, if the numbers are in the ratio of 4 : 5 : 6 and their L.C.M. is 2400.
Let the numbers be 3x, 4x and 5x.
Then,their L.C.M. = 120x.
So, 120x = 2400 or x = 20.
=>The numbers are (4 x 20), (5 x 20) and (6 x 20).
Hence, required H.C.F = 20.
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
Required number = H.C.F. of (1657 - 6) and (2037 - 5)
= H.C.F. of 1651 and 2032 = 127.