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For two positive integers a and b, define the function h (a,b) as the greatest common factor (GCF) of a, b. Let A be a set of n positive integers G(A), the GCF of the elements of set A is computed by repeatedly using the function h. The minimum number of times h is required to be used to compute G is : (CAT 1999)


Options:
A .   n
B .   (n - 1)
C .   n
D .   None of these
E .   81
Answer: Option B
:
B
Ans:

It is clear that for n positive integers function h (a,b) has to be used one time less than the number of integers, i.e., (n-1) times.




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