Question

find the HCF of the following numbers by division method i)44 and 66 ii)3 and 8​

Answer 1

Answer:

i) 22

ii) 1

Step-by-step explanation:

i) Solution by Factorization:

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

Then the greatest common factor is 22.

ii) Solution by Factorization:

The factors of 3 are: 1, 3

The factors of 8 are: 1, 2, 4, 8

Then the greatest common factor is 1.

Answer 2

Answer:

i) 44 and 66

Sol-:  44 ) 66 ( 1    

              - 44

               ------  

                22 ) 44 ( 2

                     - 44          

                      -------  

                       00  

So, HCF of 44 and 66 is 22.

ii) 3 and 8​

Sol-:   3) 8 ( 2

          -  6

            ----

             2 ) 3 ( 1

                - 2

               -------

                   1 ) 2 ( 2

                     - 2

                      -----

                        0    

   So, HCF of 3 and 8 is 1.

Step-by-step explanation-:

Step I:  

[ Here we need divide the larger number by the smaller one.] For ex- In the no 3 and 8 we have to divide 8 by 3.

Step II:

[Divide the first divisor by the first remainder]. For ex - After dividing, we get the remainder 2. So, now we have to divide 3 by 2.

Step III:

[Divide the second divisor by the second remainder]. For ex - After dividing 3 by 2, we get the remainder 1. Now we have to divide 2 by 1.

Step IV:

The remainder becomes 0.

Step V:

 Therefore, highest common factor = 1.

[The last divisor is the required highest common factor (H.C.F) of the given numbers].

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