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Discussion :: Problems on H.C.F and L.C.M

  1.    

     Reduce  \(\frac { 128352 } { 238368 } \)to its lowest terms.

    2. A.

    \( \frac {3 } {4 }\)
    B.

    \(\frac {5 } { 13 } \)
    C.

    \( \frac {7 } { 13 }\)
    D.

    \( \frac { 9 } { 13}\)

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    Answer : Option C

    Explanation : 

    128352) 238368 ( 1
         128352
         ---------------
         110016 ) 128352 ( 1
                  110016
                 ------------------  
                   18336 ) 110016 ( 6       
                           110016
                           -------
                                x
                           -------
 So, H.C.F. of 128352 and 238368 = 18336.
 
             128352     128352 � 18336    7
 Therefore,  ------  =  -------------- =  --
             238368     238368 � 18336    13

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