Question

Find the greatest number that will divide $400,435$ and $541$ leaving $9,10$ and $14$ as remainders respectively

• A. $9$
• B. $13$
• C. $17$
• D. $19$

Answer 1

Answer: (C)

$17$

The required number would be HCF of $(400-9),(435-10)$ and $(541-14).$
$391=17\times 23$
$425=5\times 5\times 17$
$527=17\times 31$
Required HCF $=17.$