Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5890/311,8211/129
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 5890,8211
Greatest Common Factor of Numerators i.e. GCF of 5890,8211 is 1 .
LCM of Denominators means LCM of 311,129 as per the given fractions.
LCM of 311,129 is 40119 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5890,8211
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5890
List of positive integer factors of 5890 that divides 5890 without a remainder.
1,2,5,10,19,31,38,62,95,155,190,310,589,1178,2945,5890
Factors of 8211
List of positive integer factors of 8211 that divides 8211 without a remainder.
1,3,7,17,21,23,51,69,119,161,357,391,483,1173,2737,8211
Greatest Common Factor
We found the factors 5890,8211 . The biggest common factor number is the GCF number.
So the greatest common factor 5890,8211 is 1.
Lets's calculate LCM of 311,129
Given numbers has no common factors except 1. So, there LCM is their product i.e 40119
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40119
Therefore, the GCF of Fractions 5890/311,8211/129 is 1/40119
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 311,129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,129) x common factors =1 x 1 = 1
LCM(311,129) = ( 311 × 129 ) / 1
LCM(311,129) = 40119 / 1
LCM(311,129) = 40119
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 5890/311, 8211/129?
Answer: GCF of Numerators as per given numbers 5890/311, 8211/129 is
GCF of Numerators i.e. for 5890,8211 is 1
LCM of denominators i.e. for 311,129 is 40119.
Thus, GCF of Fractions is 1/40119.Finally, GCF of Fractions for 5890/311, 8211/129 is 1/40119.