Question

Find the largest number that divides 220, 313 and 716 and 841 leaving reminders 3, in each case

Answer 1

$220 - 3 = 217 \\ 313 - 3 = 310 \\ 716 - 3 = 713 \\ 841 - 3 = 838$
take HCF of all these numbers
$217 = 7 \times 31 \\ 310 = 2 \times 5 \times 31 \\ 713 = 23 \times 31 \\ 838 = 2 \times 419$
HCF= 1
Their is no such number.either you would check your question