Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6088/203,3091/4227
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 6088,3091
Greatest Common Factor of Numerators i.e. GCF of 6088,3091 is 1 .
LCM of Denominators means LCM of 203,4227 as per the given fractions.
LCM of 203,4227 is 858081 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6088,3091
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6088
List of positive integer factors of 6088 that divides 6088 without a remainder.
1,2,4,8,761,1522,3044,6088
Factors of 3091
List of positive integer factors of 3091 that divides 3091 without a remainder.
1,11,281,3091
Greatest Common Factor
We found the factors 6088,3091 . The biggest common factor number is the GCF number.
So the greatest common factor 6088,3091 is 1.
Lets's calculate LCM of 203,4227
Given numbers has no common factors except 1. So, there LCM is their product i.e 858081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858081
Therefore, the GCF of Fractions 6088/203,3091/4227 is 1/858081
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 203,4227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,4227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(203,4227) x common factors =1 x 1 = 1
LCM(203,4227) = ( 203 × 4227 ) / 1
LCM(203,4227) = 858081 / 1
LCM(203,4227) = 858081
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 6088/203, 3091/4227?
Answer: GCF of Numerators as per given numbers 6088/203, 3091/4227 is
GCF of Numerators i.e. for 6088,3091 is 1
LCM of denominators i.e. for 203,4227 is 858081.
Thus, GCF of Fractions is 1/858081.Finally, GCF of Fractions for 6088/203, 3091/4227 is 1/858081.