totient of 10

Enter n for totient


  

Calculate φ(10)
This is known as the totient

Calculate factors for 10

Factors for 10 are 1,2,5,10

Factors < 10 with 1 as common factor

Build totient list

1,3,7,9







What is the Answer?

φ(10) = 4

How does the Eulers Totient (φ) Calculator work?

Free Eulers Totient (φ) Calculator - Given a positive integer (n), this calculates Euler‘s totient, also known as φ
This calculator has 1 input.

What 1 formula is used for the Eulers Totient (φ) Calculator?

  1. φ(n) = All numbers less than n which only have 1 as a common factor

For more math formulas, check out our Formula Dossier

What 5 concepts are covered in the Eulers Totient (φ) Calculator?

eulers totient (φ)
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
phi
A letter of the greek alphabet used for math notation.
Φ  φ
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
totient
The number of positive integers not greater than a specified integer that are relatively prime to it

Example calculations for the Eulers Totient (φ) Calculator

  1. totient of 2!
  2. phi(2)
  3. totient of 3!
  4. phi(3)
  5. totient of 4!
  6. phi(4)
  7. totient of 5!
  8. phi(5)
  9. totient of 6!
  10. phi(6)
  11. totient of 7!
  12. phi(7)
  13. totient of 8!
  14. phi(8)
  15. totient of 9!
  16. phi(9)
  17. totient of 10!
  18. phi(10)
  19. totient of 11!
  20. phi(11)
  21. totient of 12!
  22. phi(12)
  23. totient of 13!
  24. phi(13)
  25. totient of 14!
  26. phi(14)
  27. totient of 15!
  28. phi(15)

Eulers Totient (φ) Calculator Video


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