highest common factor

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Definitions from WordNet

Noun highest common factor has 1 sense

greatest common divisor, greatest common factor, highest common factor - the largest integer that divides without remainder into a set of integers
--₁ is a kind of common divisor, common factor, common measure

Definitions from the Web

Term: Highest Common Factor

Description:

The highest common factor (HCF) is the largest number that divides exactly into two or more given numbers.

Senses and Usages:

Sense 1: Mathematics

In mathematics, the highest common factor refers to the largest positive integer that evenly divides two or more numbers.

Example Sentence: The highest common factor of 12 and 18 is 6.

Sense 2: Algebraic Expressions

In algebra, the highest common factor refers to the largest factor shared by all terms in an algebraic expression.

Example Sentence: The highest common factor of the terms 2x^3, 4x^2, and 6x is 2x.

Sense 3: Simplifying Fractions

In fractions, the highest common factor is used to simplify the fraction by dividing the numerator and denominator by the same factor.

Example Sentence: To simplify the fraction 8/12, the highest common factor of 8 and 12 is 4. Dividing both numerator and denominator by 4 gives the simplified fraction 2/3.

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