What is the H.C.F. of 10/21 ,4/9 and 20/63?


Answers

  • rrtutors
    September 22, 2020

    The HCF of two or more numbers is the greatest number that divides each of them.

    In the above given numbers are fraction, then 

    HCF of Fraction numbers is  H.C.F. of Numerators /  L.C.M. of Denominators

    so now we need to find 


    H.C.F of 4,10 and 20 &  L.C.M of 9,21 and 63

     

    H.C.F of 4,10 and 20
    4=2X2
    10=2X5
    20=2X2X5

    So H.C.F of 4,10 and 20 is 2


    L.C.M of 9,21 and 63
    9=3X3
    21=3X7
    63=3X3X7
    L.C.M of 9,21 and 63 is 3X3X7=63

     

    Therefore  H.C.F. of 4/9, 10/21 and 20/63  is   2/63

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