Enter GCF or LCM numbers:
Determine GCF(13,14)
GCF = Largest factor that divides numbers
Determine the factors for 13
1,13
Determine the factors for 14
1,2,7
List the common factors
1
GCF(13,14) = 1
GCF(13,14) = 1
Evaluate GCF
Since GCF = 1, they are relatively prime (co-prime)
Since GCF ≠ 1 and have a difference of two, the numbers are not twin prime
Common Core State Standards In This Lesson
6.NS.B.4
What is the Answer?
1
How does the Greatest Common Factor and Least Common Multiple Calculator work?
Free Greatest Common Factor and Least Common Multiple Calculator - Given 2 or 3 numbers, the calculator determines the following:
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.
* Greatest Common Factor (GCF) using Factor Pairs
* Rewrite Sum using the Distributive Property and factoring out the GCF
* Least Common Multiple (LCM) / Least Common Denominator (LCD) using Factor Pairs
* GCF using the method of Successive Division
* GCF using the Prime Factorization method
* Determine if the numbers are coprime and twin prime
This calculator has 3 inputs.
What 11 concepts are covered in the Greatest Common Factor and Least Common Multiple Calculator?
- division
- separate a number into parts
- division
- separate a number into parts
- factor
- a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
- greatest common factor
- largest positive integer dividing a set of integers
- greatest common factor and least common multiple
- least common multiple
- Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
- minimum
- the least or lowest amount possible or attained
- multiple
- the product of any quantity and an integer
- number
- an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
- prime factorization
- the prime numbers that divide that integer exactly
- remainder
- The portion of a division operation leftover after dividing two integers
