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Definition. We define the highest common divisor d of two positive integers a and b as the largest positive integer which divides both a and b. We write d = (a,b). Definition. The Euler totient function is defined on the set of positive integers by f(1) = 1, f(m) for m > 1 is the number of positive integers less than m and relatively prime to m. In other words we denote by f(m) the number of positive integers not greater than and relatively prime to m, that is to say the number of integers n such that 0

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Final answer:

The subject of the question is Mathematics and the grade level is High School. The question asks for definitions of the highest common divisor (HCD) and the Euler totient function.

Step-by-step explanation:

The subject of this question is Mathematics and it falls under the High School level.

The question asks to define the highest common divisor (HCD) and the Euler totient function. The HCD of two positive integers is the largest positive integer that divides both numbers. The Euler totient function, denoted as f(m), represents the count of positive integers less than m that are relatively prime to m (i.e., they have no common factors with m).

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