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Home Aptitude Problems on H.C.F and L.C.M Comments

  • Question
  • 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:


  • Options
  • A. 75
  • B. 81
  • C. 85
  • D. 89

  • Correct Answer
  • 85 

    Explanation
    Since the numbers are co-prime, they contain only 1 as the common factor.

    Also, the given two products have the middle number in common.

    So, middle number = H.C.F. of 551 and 1073 = 29;

    First number = 551 = 19;    Third number = 1073 = 37.
    29 29

    ∴ Required sum = (19 + 29 + 37) = 85.


  • Problems on H.C.F and L.C.M


    Search Results


    • 1. The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

    • Options
    • A. 101
    • B. 107
    • C. 111
    • D. 185
    • Discuss
    • 2. 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:

    • Options
    • A. 55601
    • B. 60155
    • C. 11120
    • D. 12011
    • Discuss
    • 3. 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:

    • Options
    • A. 4
    • B. 5
    • C. 6
    • D. 8
    • Discuss
    • 4. 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?

    • Options
    • A. 4
    • B. 10
    • C. 15
    • D. 16
    • Discuss
    • 5. The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

    • Options
    • A. 1
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 6. Which of the following fraction is the largest?

    • Options
    • A. 78
    • B. 1316
    • C. 3140
    • D. 6380
    • Discuss
    • 7. The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:

    • Options
    • A. 504
    • B. 536
    • C. 544
    • D. 548
    • Discuss
    • 8. Which of the following has the most number of divisors?

    • Options
    • A. 99
    • B. 101
    • C. 176
    • D. 182
    • Discuss
    • 9. 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:

    • Options
    • A. 276
    • B. 299
    • C. 322
    • D. 345
    • Discuss
    • 10. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:

    • Options
    • A. 123
    • B. 127
    • C. 235
    • D. 305
    • Discuss


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