totient of 12

Calculate φ(12)

Calculate factors for 12

Factors for 12 are 1,2,3,4,6,12

Factors < 12 with 1 as common factor

#	Factor List	Matching Factors	Totient List?
1	1	1	Y
2	1,2	1,2	N
3	1,3	1,3	N
4	1,2,4	1,2,4	N
5	1,5	1	Y
6	1,2,3,6	1,2,3,6	N
7	1,7	1	Y
8	1,2,4,8	1,2,4	N
9	1,3,9	1,3	N
10	1,2,5,10	1,2	N
11	1,11	1	Y

Build totient list
1,5,7,11

φ(12) = 4

What is the Answer?

φ(12) = 4

How does the Eulers Totient (φ) Calculator work?

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?

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

Eulers Totient (φ) Calculator Video

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