Question

Find the greatest number which divides 134 and 167 leaving 2 as remainder in each case

Answer 1

Here we have to find the greatest number that divides 134 and 167 and leaves remainder 2.

First of all subtract 2 from each number.

= 134 - 2 = 132

= 167 - 2 = 165.

The required answer will be the H.C.F of 132 and 165.


   132 ) 165 ( 1

             132
            -------
               33 ) 132 ( 4
 
                       132
                    ---------
                        X.

Hence, 33 is the answer.

Verification : 134 = 33 × 4 + 2

 and , 167 = 33 × 5 + 2.

The final answer is 33.

Answer 2

The answer is 33............................