Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6312/308,6739/4217
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 6312,6739
Greatest Common Factor of Numerators i.e. GCF of 6312,6739 is 1 .
LCM of Denominators means LCM of 308,4217 as per the given fractions.
LCM of 308,4217 is 1298836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6312,6739
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6312
List of positive integer factors of 6312 that divides 6312 without a remainder.
1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Factors of 6739
List of positive integer factors of 6739 that divides 6739 without a remainder.
1,23,293,6739
Greatest Common Factor
We found the factors 6312,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 6312,6739 is 1.
Lets's calculate LCM of 308,4217
Given numbers has no common factors except 1. So, there LCM is their product i.e 1298836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1298836
Therefore, the GCF of Fractions 6312/308,6739/4217 is 1/1298836
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 308,4217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(308,4217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(308,4217) x common factors =1 x 1 = 1
LCM(308,4217) = ( 308 × 4217 ) / 1
LCM(308,4217) = 1298836 / 1
LCM(308,4217) = 1298836
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 6312/308, 6739/4217?
Answer: GCF of Numerators as per given numbers 6312/308, 6739/4217 is
GCF of Numerators i.e. for 6312,6739 is 1
LCM of denominators i.e. for 308,4217 is 1298836.
Thus, GCF of Fractions is 1/1298836.Finally, GCF of Fractions for 6312/308, 6739/4217 is 1/1298836.