HCF and LCM Questions Part-1
1. 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
2. The H.C.F. of two numbers is 23 and the
other two factors of their L.C.M. are 13
and 14.
The larger of the two numbers is:
A. 276
B. 299
C. 322
D. 345
3. Six bells commence tolling together and
toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In
30 minutes, how many times do they toll together
?
A. 4
B. 10
C. 15
D. 16
4. Let N be the greatest number that will
divide 1305, 4665 and 6905, leaving the same remainder in each
case. Then sum of the digits in N is:
A. 4
B. 5
C. 6
D. 8
5. The greatest number of four digits which
is divisible by 15, 25, 40 and 75 is:
A. 9000
B. 9400
C. 9600
D. 9800
6. The product of two numbers is 4107. If
the H.C.F. of these numbers is 37, then the greater number is:
A. 101
B. 107
C. 111
D. 185
7. Three number are in the ratio of 3 : 4 :
5 and their L.C.M. is 2400. Their H.C.F. is:
A. 40
B. 80
C. 120
D. 200
8. The G.C.D. of 1.08, 0.36 and 0.9 is:
A. 0.03
B. 0.9
C. 0.18
D. 0.108
9. The product of two numbers is 2028 and
their H.C.F. is 13. The number of such pairs is:
A. 1
B. 2
C. 3
D. 4
10. The least multiple of 7, which leaves a
remainder of 4, when divided by 6, 9, 15 and 18 is:
A. 74
B. 94
C. 184
D. 364
11. Find the lowest common multiple of 24,
36 and 40.
A. 120
B. 240
C. 360
D. 480
12. The least number which should be added
to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
A. 3
B. 13
C. 23
D. 33
13. Reduce 28352
to its lowest terms.
238368
A. 34
B. 513
C. 713
D. 913
14. The least number which when divided by
5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9
leaves no remainder, is:
A. 1677
B. 1683
C. 2523
D. 3363
15. A, B and C start at the same time in
the same direction to run around a circular stadium. A completes
a round in 252 seconds, B in 308 seconds
and c in 198 seconds, all starting at the same point. After what
time will they again at the starting point
?
A. 26 minutes and 18 seconds
B. 42 minutes and 36 seconds
C. 45 minutes
D. 46 minutes and 12 seconds
16. The H.C.F. of two numbers is 11 and
their L.C.M. is 7700. If one of the numbers is 275, then the other is:
A. 279
B. 283
C. 308
D. 318
17. What will be the least number which
when doubled will be exactly divisible by 12, 18, 21 and 30 ?
A. 196
B. 630
C. 1260
D. 2520
18. The ratio of two numbers is 3 : 4 and
their H.C.F. is 4. Their L.C.M. is:
A. 12
B. 16
C. 24
D. 48
19. The smallest number which when
diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
A. 1008
B. 1015
C. 1022
D. 1032
20. 252 can be expressed as a product of
primes as:
A. 2 x 2 x 3 x 3 x 7
B. 2 x 2 x 2 x 3 x 7
C. 3 x 3 x 3 x 3 x 7
D. 2 x 3 x 3 x 3 x 7
21. The greatest possible length which can
be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m
95 cm is:
A. 15 cm
B. 25 cm
C. 35 cm
D. 42 cm
22. Three numbers which are co-prime to
each other are such that the product of the first two is 551 and
that of the last two is 1073. The sum of
the three numbers is:
A. 75
B. 81
C. 85
D. 89
23. Find the highest common factor of 36
and 84.
A. 4
B. 6
C. 12
D. 18
24. Which of the following fraction is the
largest ?
A. 7/8
B. 13/16
C. 31/40
D. 63/80
25. The least number, which when divided by
12, 15, 20 and 54 leaves in each case a remainder of 8 is:
A. 504
B. 536
C. 544
D. 548
26. The greatest number which on dividing
1657 and 2037 leaves remainders 6 and 5 respectively, is:
A. 123
B. 127
C. 235
D. 305
27. Which of the following has the most
number of divisors?
A. 99
B. 101
C. 176
D. 182
28. The L.C.M. of two numbers is 48. The
numbers are in the ratio 2 : 3. Then sum of the number is:
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A. 28
B. 32
C. 40
D. 64
29. The H.C.F. of 9, 12, 18 and 21 is: ?
30. If the sum of two numbers is 55 and the
H.C.F. and L.C.M. of these numbers are 5 and 120 respectively,
then the sum of the reciprocals of the
numbers is equal to:
A. 55/601
B. 601/55
C. 11/120
D. 120/11