Question

please answer this it's urgent

Answer 1

it will take a bit time

Answer 2

Given 1445 > 1190.

(1) 1445 = 1190 * 1 + 255.

The remainder is not equal to 0. use division algorithm to 1190 and 255.


(2) 1190 = 255 * 4 + 170

The remainder is not equal to 0.use division algorithm to 255and 170.


(3) 255 = 170 * 1 + 85

The remainder is not equal to 0.use division algorithm to 170 and 85.


(4) 170 = 85 * 2 + 0.

The remainder is 0.


Therefore the HCF of 1190 and 1445 = 85.



Now,

85 = 255 - 170

      = (1445 - 1990) - (1190 - 255 * 4)

      = 1445 - 1990 - 1190 + 255 * 4

       = 1445 - 1990 * 2 + (1445 - 1190) * 4

       = 1445 - 1990 * 2 + 1445 * 4 - 1190 * 4

       = 1445 * 5 - 1190 * 6

       = 1190(-6) + 1445(5)


Therefore m = -6 and n = 5.


Hope this helsp!