CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Find the greatest number that will divide 445,572 and 699, leaving remainders 4,5,6 respectively


Solution

445 - 4 = 441 
572 - 5 = 567 
699 - 6 = 693 

Now find the greatest common factor of those 3 numbers: 
441 = 3 x 3 x 7 x 7 
572 = 3 x 3 x 7x 3 x 3
693 = 3 x 3 x 7 x 11 

The common factors are 3 x 3 x 7 = 63 
HCF Of (441,567,693) = 63 

445 / 63 = 7 remainder 4 

572 / 63 = 9 remainder 5 
699 / 63 = 11 remainder 6 

therefore 63 is the largest divisor that will give the desired remainders.

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
View More


People also searched for
View More



footer-image