8.11 It can be shown (see any book on number theory) that if gcd(m, n) = 1 then f(mn) = f(m)f(n). Using this property, the property developed in the preceding problem, and the property that f(p) = p - 1 for p prime, it is straightforward to determine the value of f(n) for any n. Determine the following:
a. f(41)
b. f(27)
c. f(231)
d. f(440)
 
 
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