Question

find the greatest no. which divides 2011 and 2623 leaving remainder 9 and 5 respectively

Answer 1

first subtract the respective remainders by the numbers and then find the HCF of the number after subtraction.


2011-9=2002
2623-5=2618

now find HCF of 2002 and 2618 which will be the answer.


and = 154

Answer 2

Subtracting the respective remainders from the nos.
we get,
2011-9=2002
2623-5=2618
Finding the H.C.F. of 2002 & 2618,we get, 
H.C.F.(2002,2618)=154