Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?
Choose the correct choice.
A) 123.
B) 122.
C) 63.
D) 62
E) 61
Given to find the greatest possible common divisor for two different positive number.   Let X be GCD and A and B are two different number.   We need to see the XA and XB has to be less than 124.   Now from options,   if we consider 62 * 2= 
<gadget id="calculator">62 * 2</gadget>
<output>124</output>
124, which is equal to 124, we need to consider some number lesser than 124.   Consider 61 * 2= 
<gadget id="calculator">61 * 2</gadget>
<output>122</output>
122 and   61 * 1= 
<gadget id="calculator">  61 * 1</gadget>
<output>61</output>
61 ( Both these numbers are lesser than 124 as requested ).   So GCD will be 61.   Answer: 61 is correct option
<result>E</result>
Which of the following is the greatest possible common divisor of two different positive integers, both smaller than 124?