COMMON DIVISORS Meaning and
Definition
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A common divisor refers to a number that divides two or more integers without leaving a remainder. In other words, it is a positive whole number that evenly divides two or more given numbers. The common divisors of a set of numbers are the numbers that each of the given values is divisible by.
For example, let's consider the numbers 12 and 18. The divisors of 12 are 1, 2, 3, 4, 6, and 12, while the divisors of 18 are 1, 2, 3, 6, 9, and 18. The common divisors of these two numbers are 1, 2, 3, and 6 since each of these values divides both 12 and 18 without any remainder.
Common divisors play a significant role in various mathematical concepts such as greatest common divisor (GCD) and simplifying fractions. They can be useful when determining factors or simplifying mathematical expressions containing multiple variables or unknowns.
When finding the common divisors of two or more numbers, the smallest positive integer that divides all given numbers without any remainder is considered the greatest common divisor (GCD). The GCD plays a crucial role in simplifying fractions, simplifying square roots, finding equivalent fractions, and solving polynomial equations.
Overall, common divisors are an essential mathematical concept used to identify the shared factors between numbers, enabling various mathematical operations and simplifications.
Common Misspellings for COMMON DIVISORS
- xommon divisors
- vommon divisors
- fommon divisors
- dommon divisors
- cimmon divisors
- ckmmon divisors
- clmmon divisors
- cpmmon divisors
- c0mmon divisors
- c9mmon divisors
- conmon divisors
- cokmon divisors
- cojmon divisors
- comnon divisors
- comkon divisors
- comjon divisors
- commin divisors
- commkn divisors
- commln divisors
- commpn divisors
Etymology of COMMON DIVISORS
The word "common" comes from the Latin word "communis", which means shared or belonging to all. The word "divisors" comes from the Latin word "divisor", which means one who divides or separates. Therefore, the etymology of "common divisors" implies the shared or belonging-to-all numbers that divide a given set of numbers without leaving a remainder.
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