# HCF LCM questions and answer aptitude

1) The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
A) 9000
B) 9400
C) 9600
D) 9800

Explanation:Greatest number of 4-digits is 9999.
L.C.M. of 15, 25, 40 and 75 is 600.
On dividing 9999 by 600, the remainder is 399.
Required number (9999 - 399) = 9600.

2) Find the HCF of
22×32×72, 2×34×7
A) 128
B) 126
C) 146
D) 434

Explanation: HCF is Highest common factor, so we need to get the common highest factors among given values. So we got
2×32×7

3) What will be the LCM of 8, 24, 36 and 54 ?
A) 54
B) 108
C) 216
D) 432

Explanation:LCM of 8-24-36-54 will be 2×2×2×3×3×3 = 216

4)The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
A) 544
B) 548
C) 504
D) 536

Explanation:Required number = (L.C.M. of 12, 15, 20, 54) + 8
= 540 + 8
= 548.

5)Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
A) 4
B) 7
C) 9
D) 13

Explanation:Required number = H.C.F. of (91-43), (183-91) and (183-43)
= H.C.F. of 48, 92 and 140 = 4.

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