Question

three numbers in ratio 3:4:5 and their lcm is 2400 find their hcf​

Answer 1

Answer:

ratio of nos.=3:4:5

let them be 3x, 4x and 5x

so, 3x+4x+5x=2400

so, 12x=2400

x=2400/12=200

since, the nos. are multiples of x

so , x is the HCF

so, the HCF is 200

Answer 2

Answer:(A) is the correct option.

Step-by-step explanation:

Let the numbers be 3x, 4x and 5x.

Then, their L.C.M. = 60x.

So, 60x = 2400 or x = 40.

The numbers are (3 x 40), (4 x 40) and (5 x 40).

Hence, required H.C.F. = 40.

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