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55. The H.C.F. of two numbers is 54 and the other two factors of their L.C.M. are 21 and 20. The larger of the two numbers is?
56. The H.C.F. of two numbers is 32 and the other two factors of their L.C.M. are 11 and 12. The smallest of the two numbers is?
57. The greatest number of four digits which is divisible by 10, 15, 20 and 55 is:
58. What is the least number which when divided by 10, 12, 14 and 16 leaves a remainder 6, but when divided by 18 leaves no remainder?
59. Three number are in the ratio 1:5:2 and their L.C.M is 2500, their H.C.F is?
60. Three number are in the ratio of 2:5:9 and their L.C.M. is 3600 . Their H.C.F. is?
61. The H.C.F. of two numbers is 13 and their L.C.M. is 390. If one of the numbers is 169, then the other is:
62. The H.C.F. of two numbers is 61 and the other two factors of their L.C.M. are 23 and 24. The larger of the two numbers is:
63. Three bells commence tolling together and toll at intervals of 6, 8, and 10 seconds respectively. In 30 minutes, how many times do they toll together ?
64. Four cistern are capable of holding 72 , 24 , 56 and 120 gallons respectively. What is the capacity of the greatest vessel which can used to fill them exactly ?
65. What least number must be subtracted from 2163 so that the resulting number when divided by 7, 9, and 21 will leave in each case the same remainder 11?
66. Find the greatest number by which 89, 167, and 243 will be divided so that it will leaves the same remainder in every case?
67. Two number are in the ration 17 : 15. If their HCF is 21, find the numbers.
68. Find the L.C.M of 299 , 221 and 759
69. The greatest number of four digits which is divisible by 16, 28, 32 and 40 is:
70. The greatest number of four digits which is divisible by 3,15, 27, and 36 is:
71. The greatest number of four digits which is divisible by 6, 16, 18 and 42 is:
72. The greatest number of four digits which is divisible by 14, 21, 35 and 63 is:
73. The greatest number of four digits which is divisible by 22, 44, 66 and 88 is:
74. The greatest number of four digits which is divisible by 8, 10, 14 and 28 is:
75. The H.C.F. of two numbers is 86 and the other two factors of their L.C.M. are 15 and 27. The larger of the two numbers is:
76. The greatest number of four digits which is divisible by 2, 5, 7 and 13 is:
77. The greatest number of four digits which is divisible by 3, 21, 90 and 75 is:
78. The greatest number of four digits which is divisible by 1, 17, 24 and 34 is:
79. The greatest number of four digits which is divisible by 2, 13, 39 and 66 is:
80. Two numbers have an LCM of 30 and a product of 150. Find the HCF of the two numbers.
81. The sum of two numbers is 42 and their HCF is 7. Find the numbers.