Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6129/921,2058/4453
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 6129,2058
Greatest Common Factor of Numerators i.e. GCF of 6129,2058 is 3 .
LCM of Denominators means LCM of 921,4453 as per the given fractions.
LCM of 921,4453 is 4101213 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6129,2058
3 | 6129, 2058 |
2043, 686 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6129
List of positive integer factors of 6129 that divides 6129 without a remainder.
1,3,9,27,227,681,2043,6129
Factors of 2058
List of positive integer factors of 2058 that divides 2058 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294,343,686,1029,2058
Greatest Common Factor
We found the factors 6129,2058 . The biggest common factor number is the GCF number.
So the greatest common factor 6129,2058 is 3.
Lets's calculate LCM of 921,4453
Given numbers has no common factors except 1. So, there LCM is their product i.e 4101213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4101213
Therefore, the GCF of Fractions 6129/921,2058/4453 is 3/4101213
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 921,4453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,4453) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,4453) x common factors =1 x 1 = 1
LCM(921,4453) = ( 921 × 4453 ) / 1
LCM(921,4453) = 4101213 / 1
LCM(921,4453) = 4101213
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 6129/921, 2058/4453?
Answer: GCF of Numerators as per given numbers 6129/921, 2058/4453 is
GCF of Numerators i.e. for 6129,2058 is 3
LCM of denominators i.e. for 921,4453 is 4101213.
Thus, GCF of Fractions is 3/4101213.Finally, GCF of Fractions for 6129/921, 2058/4453 is 3/4101213.