Question

03 Find the HCF of the following by long division method. (b) 140, 350​

Answer 1

Given : 140, 350​

To Find :  HCF by long division method

Solution:

             140  _|    350   |_  2

                            280

                           ____

                              70  _|  140 |_  2

                                          140

                                         _____

                                            0

70 is The HCF

70 is The HCF of 140 and 350

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Answer 2

Given:

140, 350

To find:

Find the HCF of the given numbers by long division method

Solution:

Continue Division Method :  

• We use the continued division method for finding the highest common factor of two or more numbers.  
• First, Divide the larger number by smaller numbers.
• Then the remainder becomes divisor and the divisor becomes dividend. This will continue until the remainder is 0.
• The divisor which does not leave a remainder is the H.C.F.

HCF of 140, 350:

 140) 350( 2

     -   280

      _____

          70) 140 ( 2

             -  140

               _____

                   0

                _____

Hence, the HCF of 140 and 350 is 70.