Question
Sat April 07, 2012 By:
 

find the greatest number that will divide 185 and 300 leaving remainders 3 and 6 respectively.

Expert Reply
Mon April 09, 2012
On dividing 185, the remainder is 3, this means the number divides 185-3=182 exactly
 
Similarly, on dividing 300, the remainder is 6, meaning the number divides 300-6=294 exactly
 
So the number divided both 182 and 294 exacly
 
Factors of 182 are 182=2x7x13
Factors of 294 are 294=2x3x7x7
 
So the greatest common factor is 2x7=14
 
Hence the greatest number of such sort is 14.
Ask the Expert