Question

Find the HCF of 1020, 11594 by long division method​

Answer 1

Answer:

Hence, the H.C.F. of 1020 and 11594 is 34

Answer 2

Answer:

The HCF of $1020$ and $11594$ is $2$.

Step-by-step explanation:

Given : The numbers are $1020$ and $11594$.

To find : The HCF of the above number by long division method.

Solution :

• The given numbers are $1020$ and $11594$.
• We have to find the HCF of the above numbers by long division method.
• To find the HCF of the above numbers, we have to find the factors of the given numbers.
• Factors are,

     $1020=2*504$

            $=2*2*252$

            $=2*2*2*126$

            = $2*2*2*2*63$

            = $2*2*2*2*3*21$

            = $2*2*2*2*3*3*7$

    $11594=2*5797$

            = $2*11*527$

            = $2*11*17*31$

• Here, we can see that the common factor of both the numbers is $2$.
• ∴ The HCF of $1020$ and $11594$ is $2$.