Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4931/315,6779/886
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 4931,6779
Greatest Common Factor of Numerators i.e. GCF of 4931,6779 is 1 .
LCM of Denominators means LCM of 315,886 as per the given fractions.
LCM of 315,886 is 279090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4931,6779
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4931
List of positive integer factors of 4931 that divides 4931 without a remainder.
1,4931
Factors of 6779
List of positive integer factors of 6779 that divides 6779 without a remainder.
1,6779
Greatest Common Factor
We found the factors 4931,6779 . The biggest common factor number is the GCF number.
So the greatest common factor 4931,6779 is 1.
Lets's calculate LCM of 315,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 279090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/279090
Therefore, the GCF of Fractions 4931/315,6779/886 is 1/279090
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 315,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,886) x common factors =1 x 1 = 1
LCM(315,886) = ( 315 × 886 ) / 1
LCM(315,886) = 279090 / 1
LCM(315,886) = 279090
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 4931/315, 6779/886?
Answer: GCF of Numerators as per given numbers 4931/315, 6779/886 is
GCF of Numerators i.e. for 4931,6779 is 1
LCM of denominators i.e. for 315,886 is 279090.
Thus, GCF of Fractions is 1/279090.Finally, GCF of Fractions for 4931/315, 6779/886 is 1/279090.