Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6514/387,2459/848
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 6514,2459
Greatest Common Factor of Numerators i.e. GCF of 6514,2459 is 1 .
LCM of Denominators means LCM of 387,848 as per the given fractions.
LCM of 387,848 is 328176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6514,2459
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6514
List of positive integer factors of 6514 that divides 6514 without a remainder.
1,2,3257,6514
Factors of 2459
List of positive integer factors of 2459 that divides 2459 without a remainder.
1,2459
Greatest Common Factor
We found the factors 6514,2459 . The biggest common factor number is the GCF number.
So the greatest common factor 6514,2459 is 1.
Lets's calculate LCM of 387,848
Given numbers has no common factors except 1. So, there LCM is their product i.e 328176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328176
Therefore, the GCF of Fractions 6514/387,2459/848 is 1/328176
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 387,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,848) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,848) x common factors =1 x 1 = 1
LCM(387,848) = ( 387 × 848 ) / 1
LCM(387,848) = 328176 / 1
LCM(387,848) = 328176
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 6514/387, 2459/848?
Answer: GCF of Numerators as per given numbers 6514/387, 2459/848 is
GCF of Numerators i.e. for 6514,2459 is 1
LCM of denominators i.e. for 387,848 is 328176.
Thus, GCF of Fractions is 1/328176.Finally, GCF of Fractions for 6514/387, 2459/848 is 1/328176.