Question

find the greatest thst will divide 445,572and 699 to leave remainder 4,5,6

Answer 1

445 - 4 = 441

572 - 5 = 567

699 - 6 = 663


Now, we will find the HCF of the obtained numbers.


441 = 3 x 3 x 7 x 7 

572 = 3 x 3 x 3 x 3 x 7 

693 = 3 x 3 x 7 x 11 

The common factors are 3 x 3 x 7 = 63 

HCF Of 441, 567, 693 = 63 



$\therefore{}$ 63 is the greatest number.

Answer 2

hence 63 is greatest number

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