Determine GCF(10,12) GCF = Largest factor that divides numbers
Determine the factors for 10
1,2,5,10
Determine the factors for 12
1,2,3,4,6
List the common factors
1,2
GCF(10,12) = 2
GCF(10,12) = 2
Evaluate GCF
Since GCF ≠ 1, they are not relatively prime (co-prime) Since GCF ≠ 1 and have a difference of two, the numbers are not twin prime Calculate LCM for the following (10,12)
List the first few multiples for 10
10,20,30,40,50,60,70,80,90
List the first few multiples for 12
12,24,36,48,60,72,84,96
LCM is the smallest common number:
LCM(10,12) is 60
LCM(10,12) is 60
What is the Answer?
LCM(10,12) is 60
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.
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
Example calculations for the Greatest Common Factor and Least Common Multiple Calculator
