Question

what is the HCF of 143 and 208 ?​

Answer 1

Step-by-step explanation:

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Answer 2

The Highest Common Factor(HCF) of 143 and 208 is 13.

Given:

The two numbers are 143 and 208.

To find:

The HCF of 143 and 208.

Solution:

We will use the division method to find HCF of the given numbers.

To find HCF we will simply perform the following steps:

• Step1: Divide the larger number by the smaller number using long  division
• Step 2: If we get the remainder 0, then the divisor is the HCF.If the remainder is not 0, then make the remainder in the previous step as the divisor and the divisor in the previous step a dividend. And perform long division again.  
• Step 3: If the remainder is not 0, then follow the above step and repeat the process till we get the remainder 0.

143 ) 208 ( 1

       -143______

65 ) 143 ( 2

      -130_______

13 )  65 ( 5

       -65_______

        00

Hence, the Highest Common Factor ( HCF ) of 143 and 208 is 13.

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