Question

Find the great no. That will divide 455,572,699 to leave the remainder 4,5,6

Answer 1

Subtract each of the remainders with number 

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 3 x 3 x 7 
693 = 3 x 3 x 7 x 11 

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

so 63 is the great no. That will divide 455,572,699 to leave the remainder 4,5,6

Answer 2

Solutions 

In this case, since the numbers 4, 5 and 6 are remainders left after some common number divides 445, 572 and 699 respectively. To solve the problem we have to subtract each of the remainders with number given. 

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

Now find the HCF of 441, 567 and 693. 

441 = 7 x 7 x 3 x 3 
567 = 7 x 3 x 3 x 3 x 3 
693 = 7 x 3 x 3 x 11 

Since 7 x 3 x 3 is common across the three numbers, the answer is 63.