highest common factor (Meaning)

Wordnet

highest common factor (n)

the largest integer that divides without remainder into a set of integers

Synonyms & Antonyms of highest common factor

No Synonyms and anytonyms found

highest common factor Sentence Examples

  1. In mathematics, the highest common factor (HCF) of two or more numbers is the largest positive integer that divides each of the numbers without leaving a remainder.
  2. Finding the highest common factor is essential in simplifying fractions to their lowest terms.
  3. The highest common factor of 24 and 36 is 12, as 12 is the largest number that divides both 24 and 36 evenly.
  4. When calculating the highest common factor, one method is to list the factors of each number and identify the greatest one they have in common.
  5. The highest common factor of prime numbers is always 1, as prime numbers have no other factors besides 1 and themselves.
  6. Teachers often introduce the concept of the highest common factor in elementary school to lay the foundation for more complex mathematical concepts.
  7. The highest common factor is also known as the greatest common divisor (GCD) or greatest common measure (GCM).
  8. In problem-solving, identifying the highest common factor can help streamline calculations and find efficient solutions.
  9. Mathematicians have developed algorithms to compute the highest common factor of large numbers quickly.
  10. Understanding the concept of the highest common factor is crucial in various mathematical disciplines, including algebra, number theory, and cryptography.

FAQs About the word highest common factor

the largest integer that divides without remainder into a set of integers

No synonyms found.

No antonyms found.

In mathematics, the highest common factor (HCF) of two or more numbers is the largest positive integer that divides each of the numbers without leaving a remainder.

Finding the highest common factor is essential in simplifying fractions to their lowest terms.

The highest common factor of 24 and 36 is 12, as 12 is the largest number that divides both 24 and 36 evenly.

When calculating the highest common factor, one method is to list the factors of each number and identify the greatest one they have in common.