Home » Problems on H.C.F and L.C.M – Questions and Answers – Quiz 1

# Problems on H.C.F and L.C.M – Questions and Answers – Quiz 1

1. Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.
4
7
9
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:
276
299
322
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 ?
4
10
15
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:
4
5
6
8

5. The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:
9000
9400
9600
9800

6. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:
101
107
111
185

7. Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:
40
80
120
200

8. The G.C.D. of 1.08, 0.36 and 0.9 is:
0.03
0.9
0.18
0.108

9. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:
1
2
3
4

10. The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is:
74
94
184
364

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