Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6378/258,7131/1053
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 6378,7131
Greatest Common Factor of Numerators i.e. GCF of 6378,7131 is 3 .
LCM of Denominators means LCM of 258,1053 as per the given fractions.
LCM of 258,1053 is 90558 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6378,7131
3 | 6378, 7131 |
2126, 2377 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6378
List of positive integer factors of 6378 that divides 6378 without a remainder.
1,2,3,6,1063,2126,3189,6378
Factors of 7131
List of positive integer factors of 7131 that divides 7131 without a remainder.
1,3,2377,7131
Greatest Common Factor
We found the factors 6378,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 6378,7131 is 3.
Lets's calculate LCM of 258,1053
3 | 258, 1053 |
86, 351 |
∴ So the LCM of the given numbers is 3 x 86 x 351 = 90558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/90558
Therefore, the GCF of Fractions 6378/258,7131/1053 is 3/90558
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 258,1053 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,1053) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,1053) x common factors =3 x 1 = 3
LCM(258,1053) = ( 258 × 1053 ) / 3
LCM(258,1053) = 271674 / 3
LCM(258,1053) = 90558
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 6378/258, 7131/1053?
Answer: GCF of Numerators as per given numbers 6378/258, 7131/1053 is
GCF of Numerators i.e. for 6378,7131 is 3
LCM of denominators i.e. for 258,1053 is 90558.
Thus, GCF of Fractions is 3/90558.Finally, GCF of Fractions for 6378/258, 7131/1053 is 3/90558.