10th Class Mathematics Solved Paper - Mathematics-2018

  • question_answer Find HCF and LCM of 404 and 96 and verify that \[HCF\times LCM=\] Product of the two given numbers.

    Answer:

        2 404
        2 202
    101 101
    1
     
    2 96
    2 48
    2 24
    2 112
    2 6
    3 3
    1
    Prime factorization of \[404=2\times 2\times 101\]
    Prime factorization of \[96=2\times 2\times 2\times 2\times 2\times 3\]
    \[\therefore \]      HCF \[=2\times 2=4\]
    And      LCM \[=2\times 2\times 2\times 2\times 2\times 3\times 101\]
                          \[=9696\]
    \[\therefore \]      HCF = 4, LCM \[=9696\]
    Verification
    HCF \[\times \] LCM = Product of two numbers
           \[4\times 9696=404\times 96\]
              \[38784=38784\]                    Hence Verified.


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