Question

Find the hcf and lcm of: 117 and 286

Answer 1

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Answer 2

Answer:

The HCF of 117 and 286 is 13

The LCM of 117 and 286 is 2574.

Step-by-step explanation:

We have to find the HCF of 117 and 286

1. For HCF,

Dividing the first no. by the second

=> 117 ) 286 ( 2

        -  234

----------------------

                52 ) 117 ( 2

                     - 104

               ------------------

                        13 ) 52 ( 4

                            - 52

                           ------------

                                 0

Therefore, the HCF of 117 and 286 is 13

2. Calculating LCM,

    13 | 117 , 286

    11  | 9  , 22

    2  | 9  , 2

     3 | 9  , 1

     3 | 3   , 1

        | 1  , 1

Therefore, LCM = 13 x 11 x 2 x 3 x 3

                           = 2574

Therefore, the LCM of 117 and 286 is 2574.