Question

find the HCF of :-777,315,588

Answer 1

To find : HCF of $777, 315$ and $588$ .

Solution :

• HCF is the highest common factor also called as greatest common divisor ,( GCD ).

• To find HCF of  $777, 315$ and $588$ we find factors of these numbers .

• Prime factors are:
• Prime factors  of $777$ = $3\times 7\times 37$
• Prime factors of $315$ = $3\times 3\times 5\times 7$  

                                          $= 3^{2} \times5^{1}\times 7^{1 }$

• Prime factors of $588$ = $2\times 2\times 3\times 7\times 7$

                                         $= 2^{2} \times3^{1} \times7^{2}$

      HCF of $777, 315$ and $588$  = $3\times 7$

                                              $= 21$

Hence, HCF of  $777, 315$ and $588$  is $21$ .