the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively, is:  Choices
A) 16  B) 127  C) 235  D) 305  E) 505
<gadget id="calculator">2_037 - 5</gadget>
<output>2_032</output>

<gadget id="calculator">1_657 - 9</gadget>
<output>1_648</output>

<gadget id="calculator">gcd(2_032, 1_648)</gadget>
<output>16</output>

<result>A</result>
the greatest number which on dividing 1657 and 2037 leaves remainders 9 and 5 respectively, is:
gcd(subtract(2037, 5), subtract(1657, 9))
"explanation : required number = h . c . f . of ( 1657 - 9 ) and ( 2037 - 5 ) = h . c . f . of 1648 and 2032 = 16 . answer : a"