Question

find the greatest number which divides 2011and2623, leaving remainder 9 and 5 respective
ly​

Answer 1

Answer:

To find such numbers firstly add them with thier reminders and find their HCF.

So,

2011 + 9= 2020

2623+ 5=2628

Now by prim factoeisation we get to know that the HCF of these numbers is 4

Hence the gretest number which divides 2011 and 2628leaving the respictive reminders is 4