LCM and HCF Problems with Solutions

  • Q1:

    Which one of the following numbers will divide 129 and 281 leaving 3 and 5 remainders respectively?

    1. (A)23
    2. (B)8
    3. (C)7
    4. (D)6
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  • Q2:

    Find the L.C.M. of \(\frac{1}{2},\frac{3}{5},\frac{4}{7}\) and \(\frac{5}{21}\)

    1. (A)\(\frac{2}{27}\)
    2. (B)\(21\)
    3. (C)\(\frac{1}{60}\)
    4. (D)\(60\)
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  • Q3:

    The product of two numbers is 396 \(\times\) 576 and the L.C.M. is 6336. Their G.C.M. is

    1. (A)36
    2. (B)26
    3. (C)59
    4. (D)76
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  • Q4:

    What is the smallest number which when increased by 5 is divisible by 36, 48, 21 and 28?

    1. (A)341
    2. (B)314
    3. (C)431
    4. (D)443
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  • Q5:

    What is the least number which when divided by 12, 21 and 35 will leave in each case the same remainder 6?

    1. (A)420
    2. (B)526
    3. (C)414
    4. (D)426
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