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Aptitude · Q7

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 7

Q7

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A.
40
Answer
B.
80
C.
120
D.
200

Answer: Option A

Solution

Answer: Option A
Solution:
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