Question

Only correct answers.
Read the question carefully.

What is the HCF of 1190 and 1445.Write the HCF in the form of 1190m and 1445n.

Answer 1

HCF is the highest common factor .

1190 = 14 × 85 .

1445 = 17 × 85 .

Thus H.CF = 85 .

Our motto is to express 85 in the form :

1190 m + 1445 n

85 = 255 - 170

= > 85 = ( 1445 - 1190 ) - ( 1190 - 1020 )

= > 85 = 1445 - 2 ( 1190 ) + 1020

= > 85 = 1445 - 2 ( 1190 ) + 4 ( 255 )

= > 85 = 1445 - 2 ( 1190 ) + 4 ( 1445 - 1190 )

= > 85 = 1445 - 2 ( 1190 ) + 4 ( 1445 ) - 4 ( 1190 )

= > 85 = 1445 ( 1 + 4 ) + 1190 ( - 4 - 2 )

= > 85 = 1445 ( 5 ) + 1190 ( - 6 )

= > 85 = ( - 6 )( 1190 ) + ( 5 )( 1445 )

m = - 6

n = 5