### HCF AND LCM

Q.1 Find the H.C.F. of 23 X 32 X 5 X 74, 22 X 35 X 52 X 73, 23 X 53 X 72

1.545
2.460
3.980
4.670

Q.2 Find the H.C.F. of 108, 288 and 360

1.40
2.32
3.22
4.36

Q.3 Find the H.C.F. of 513, 1134 and 1215.

1.45
2.36
3.81
4.27

Q.4 Reduce 391667 to lowest terms to lowest terms.

1.1324
2.2917
3.1729
4.2413

Q.5 Find the L.C.M. of 22 x 33 x 5 x 72 , 23 x 32 x 52 x 74 , 2 x 3 x 53x7x11.

1.33 x 53
2.11
3.23 x 33 x 53
4.23 x 33 x 53 x 74 x 11

Q.6 Find the L.C.M. of 72, 108 and 2100.

1.54670
2.37860
3.23456
4.37800

Q.7 Find the L.C.M. of 16, 24, 36 and 54.

1.24*33
2.43*52
3.33*22
4.23*32

Q.8 Find the H.C.F. and L.C.M. of 23, 89 , 1681 and 1027.

1.hcf=686 lcm=5610
2.hcf=1956 lcm=2143
3.hcf=385 lcm=814
4.hcf=281 lcm=803

Q.9 Find the L.C.M. of 0.63, 1.05 and 2.1.

1.2.36
2.6.30
3.0.21
4.5.45

Q.10 Two numbers are in the ratio of 15:11. If their H.C.F. is 13, find the numbers.

1.78,99
2.100,135
3.195,143
4.13,40

Q.11 The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77,find the other.

1.56
2.28
3.99
4.67

Q.12 Find the greatest possible length which can be used to measure exactly the lengths 4 m 95 cm, 9 m and 16 m 65 cm.

1.45 cm
2.1 m
3.90 cm
4.78 cm

Q.13 Find the greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively

1.80
2.127
3.98
4.150

Q.14 Find the largest number which divides 62, 132 and 237 to leave the same remainder in each case.

1.64
2.21
3.35
4.78

Q.15 Find the least number exactly divisible by 12,15,20,27

1.60
2.540
3.180
4.150

Q.16 Find the least number which when divided by 6,7,8,9, and 12 leave the same remainder 1 each case

1.505
2.504
3.500
4.501

Q.17
Find the largest number of four digits exactly divisible by 12,15,18 and 27

1.5678
2.9999
3.9720
4.9843

Q.18 Find the smallest number of five digits exactly divisible by 16,24,36 and 54.

1.10064
2.10368
3.10432
4.10496

Q.19 Find the least number which when divided by 20,25,35 and 40 leaves remainders 14,19,29 and 34 respectively.

1.1394
2.475
3.1015
4.1360

Q.20 Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .

1.1368
2.1863
3.1683
4.1134

Q.21 The traffic lights at three different road crossings change after every 48 sec., 72 sec and 108 sec.respectively .If they all change simultaneously at 8:20:00 hours,then at what time they again change simultaneously.

1.10:11:18 hrs
2.8:27:12 hrs
3.9:02:10 hrs
4.7:32:28 hrs

Q.22 Arrange the fractions 1718 , 3136, 4345, 5960 in the ascending order.

1.1718 < 3136 < 4345 < 5960
2.5960 < 4345 < 1718 < 3136
3.4345 < 1718 < 3136 < 5960
4.3136 < 1718 < 4345 < 5960