Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 300. What is their H.C.F.? Choices: A) 20 B) 25 C) 30 D) 60 E) 75
Let the numbers be 2x, 3x, and 4x.   LCM of 2x, 3x and 4x is 12x.   12x = 300   x = 25   HCF of 2x, 3x and 4x = x = 25   The answer is 25.
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Three numbers are in the ratio of 2 : 3 : 4 and their L.C.M. is 300. What is their H.C.F.?