COMMON DIVISOR Meaning and
Definition
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A common divisor is a mathematical term referring to a number that divides two or more integers without leaving any remainder. In other words, it is a divisor that is common to two or more given numbers.
For instance, in the case of the numbers 12 and 18, their common divisors are 1, 2, 3, and 6. This is because all these numbers evenly divide both 12 and 18. On the other hand, numbers like 4 and 8 would not be considered common divisors in this case, as they are not factors of both 12 and 18.
The concept of common divisors is commonly used in mathematics, especially in areas like number theory and algebra. It plays a vital role in solving various mathematical problems, such as finding the greatest common divisor (GCD) or the highest common factor (HCF) of a given set of numbers.
Understanding common divisors is crucial for many mathematical operations and applications. They can be employed in simplifying fractions, factoring numbers, solving equations, finding common multiples, and determining common factors, among other things. Furthermore, common divisors are a fundamental concept in the study of prime numbers, primality tests, and various theorems in number theory.
Common Misspellings for COMMON DIVISOR
- xommon divisor
- vommon divisor
- fommon divisor
- dommon divisor
- cimmon divisor
- ckmmon divisor
- clmmon divisor
- cpmmon divisor
- c0mmon divisor
- c9mmon divisor
- conmon divisor
- cokmon divisor
- cojmon divisor
- comnon divisor
- comkon divisor
- comjon divisor
- commin divisor
- commkn divisor
- commln divisor
Etymology of COMMON DIVISOR
The word "common divisor" has its etymology in Latin and mathematics. Here is a breakdown:
1. Common: The word "common" comes from the Old English word "cymmene" which means "belonging to all", or "shared by all". It can also be traced back to the Latin word "communis" meaning "common, general, or shared".
2. Divisor: The word "divisor" is derived from the Latin word "dividere" which means "to divide" or "to separate".
Therefore, when combined, the term "common divisor" refers to a number that can divide two or more other numbers without leaving any remainder. It is a mathematical term used to describe a number that is a factor of multiple numbers simultaneously.
Similar spelling words for COMMON DIVISOR
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