Question

find the largest positive integer that will divide 434 and 539 leaving remainder 9and 12 respectively

Answer 1

Largest positive number will be HCF of (434-9) and (539-12)
i.e. HCF of 425 and 527
425 = 5×5×17
527=31×17
∴HCF = 17
The largest positive number will be 17

Answer 2

HEY FRIEND HERE IS UR ANSWER ,

If you divide 434, remainder is 9

So 434 - 9 = 425 is completely divisible.

And ff you divide 539, remainder is 12

So 539 - 12 = 527 is completely divisible.

Find the HCF of 425 and 527.

425 = 5×5×17

527 = 17×31

HCF = 17

So the largest possible integer is 17.

HOPE IT HELPS :)

MARK ME AS BRAINIEST AND FOLLOW ME !!!!!!!!!!!!!!!!!!