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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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