Question

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

• A. $17$
• B. $4$
• C. $55$
• D. $11$

Answer 1

The correct option is A $17$

$400-9=391$

$435-10=425$

$541-14=527$

$391=17\times 23$

$425=5\times 5\times 17$

$527=17\times 31$

HCF of $391,425$ and $527=17$

Required number$=17$