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For a positive integer $n$, $\phi(n)$ denotes the number of positive integers less than or equal to $n$ that are relatively prime to $n$.
What is $\phi(1200)$?

 Jul 3, 2024

Best Answer 

 #2
avatar+129739 
+1

1200 =  12 * 5^2 * 2^2  = 2^4 * 3 * 5^2

 

Using Euler's Totient Function

 

phi (1200)  =    1200 / ( 2 * 3 * 5) *  (2-1)(3-1) (5-1) = 40 (1)(2)(4)  =  320

 

cool cool cool

 Jul 3, 2024
 #1
avatar+867 
0

phi(1200) = 1050

 Jul 3, 2024
 #2
avatar+129739 
+1
Best Answer

1200 =  12 * 5^2 * 2^2  = 2^4 * 3 * 5^2

 

Using Euler's Totient Function

 

phi (1200)  =    1200 / ( 2 * 3 * 5) *  (2-1)(3-1) (5-1) = 40 (1)(2)(4)  =  320

 

cool cool cool

CPhill Jul 3, 2024

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