Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8062/861,6810/2042
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8062,6810
Greatest Common Factor of Numerators i.e. GCF of 8062,6810 is 2 .
LCM of Denominators means LCM of 861,2042 as per the given fractions.
LCM of 861,2042 is 1758162 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8062,6810
2 | 8062, 6810 |
4031, 3405 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8062
List of positive integer factors of 8062 that divides 8062 without a remainder.
1,2,29,58,139,278,4031,8062
Factors of 6810
List of positive integer factors of 6810 that divides 6810 without a remainder.
1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Greatest Common Factor
We found the factors 8062,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 8062,6810 is 2.
Lets's calculate LCM of 861,2042
Given numbers has no common factors except 1. So, there LCM is their product i.e 1758162
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1758162
Therefore, the GCF of Fractions 8062/861,6810/2042 is 2/1758162
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 861,2042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,2042) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,2042) x common factors =1 x 1 = 1
LCM(861,2042) = ( 861 × 2042 ) / 1
LCM(861,2042) = 1758162 / 1
LCM(861,2042) = 1758162
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8062/861, 6810/2042?
Answer: GCF of Numerators as per given numbers 8062/861, 6810/2042 is
GCF of Numerators i.e. for 8062,6810 is 2
LCM of denominators i.e. for 861,2042 is 1758162.
Thus, GCF of Fractions is 2/1758162.Finally, GCF of Fractions for 8062/861, 6810/2042 is 2/1758162.