Question

find the greatest number which divides 443, 659 and 803 leaving the same remainder 11 in each case ​

Answer 1

Answer:

The difference between each set of two numbers is respectively 443, 659 and 803.

Now, as the remainder should be the same in each case, the number is the greatest common divisor of 443, 659 and 803.

443=443*1

659=659*1

803=11*73*1

∴HCF=1

∴ The required number is 1.