5th Class Mathematics Factors and Multiples Question Bank Factor & Multiple

  • question_answer
    What is the HCF of \[4\times 27\times 3125,\text{ }8\times 9\times 25\times 7\]and\[16\times 81\times 5\times 11\times 49\]

    A) \[120\]                          

    B) \[180\]

    C) \[140\]                          

    D) \[170\]

    Correct Answer: B

    Solution :

     H.C.F. \[=4\times 27\times 3125,\,\,8\times 9\times 25\times 7,\]\[16\times 81\times 5\times 11\times 49\] \[4\times 27\times 3125={{2}^{2}}\times {{3}^{2}}\times {{5}^{2}}\] \[8\times 9\times 25\times 7={{2}^{3}}\times {{3}^{2}}\times {{5}^{2}}\times 7\] \[16\times 81\times 5\times 11\times 49={{2}^{4}}\times {{3}^{4}}\times 5\times 11\times {{7}^{2}}\] \[HCF=5\times {{2}^{2}}\times {{3}^{2}}=180\]


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