Definition

1. Noun (Mathematics):
   • Common divisor: A number that divides two or more given numbers without leaving a remainder. It is a whole number that is a factor of each number in a set.

Usage Examples

• Noun:
  • Số 3 là một ước chung của 12 và 15. (The number 3 is a common divisor of 12 and 15.)
  • Hãy tìm tất cả các ước chung của 18 và 24. (Find all the common divisors of 18 and 24.)

Advanced Usage

• "ước chung lớn nhất" (UCLN): greatest common divisor (GCD) or highest common factor (HCF). This is the largest of all the common divisors shared by a set of numbers.
  • Ước chung lớn nhất của 8 và 12 là 4. (The greatest common divisor of 8 and 12 is 4.)

Variants and Related Words

• Ước số (n): divisor, factor. A number that divides another number exactly.

  • Các ước số của 10 là 1, 2, 5, và 10. (The divisors of 10 are 1, 2, 5, and 10.)

• Bội chung (n): common multiple. A number that is a multiple of two or more given numbers.

  • Bội chung nhỏ nhất của 4 và 6 là 12. (The least common multiple of 4 and 6 is 12.)

Synonyms

• Common factor: A synonym for common divisor.
• Common measure: Another term used in mathematics, equivalent to common divisor.

Related Concepts

• Greatest Common Divisor (GCD): The largest common divisor, as explained in "Advanced Usage."
• Relatively Prime/Coprime: Two numbers are coprime if their greatest common divisor is 1, meaning they share no common divisors other than 1.