Find the HCF of 10500 and 16800.

Given :

The given numbers are 10500 and 16800.

To do :

We have to find the HCF of the given numbers.

Solution :

10500 and 16800.

10500 can be written as $105 \times 100$

16800 can be written as $168 \times 100$

 So, 100 is the common factor of both 10500 and 16800.

Now, we can find the common factors of 105 and 168, and multiply it by 100.

Prime factors of 105 $= 3 \times 5\times 7$

Prime factors of 168 $= 2 \times 2\times 2 \times 3 \times 7$

The common factors are $3 \times 7 = 21$

$HCF = 21 \times 100 = 2100$

Therefore, the HCF of 10500 and 16800 is 2100.

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Updated on: 10-Oct-2022

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