When 15206 is divided by a number first,second and third remainder is respectively 29,44 and 77 . What is divisor

Question

When 15206 is divided by a number first,second and third remainder is respectively 29,44 and 77 . What is divisor

Answer 1

152-29=123

123=3*41

152/41=3 R 29

290/41=7 R 3 so the divisor cannot be 41

152/123=1 R 29

290/123=2 R 44

446/123=3 R 77

the divisor is 123