Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6304/55,5238/797
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 6304,5238
Greatest Common Factor of Numerators i.e. GCF of 6304,5238 is 2 .
LCM of Denominators means LCM of 55,797 as per the given fractions.
LCM of 55,797 is 43835 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6304,5238
2 | 6304, 5238 |
3152, 2619 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6304
List of positive integer factors of 6304 that divides 6304 without a remainder.
1,2,4,8,16,32,197,394,788,1576,3152,6304
Factors of 5238
List of positive integer factors of 5238 that divides 5238 without a remainder.
1,2,3,6,9,18,27,54,97,194,291,582,873,1746,2619,5238
Greatest Common Factor
We found the factors 6304,5238 . The biggest common factor number is the GCF number.
So the greatest common factor 6304,5238 is 2.
Lets's calculate LCM of 55,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 43835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/43835
Therefore, the GCF of Fractions 6304/55,5238/797 is 2/43835
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 55,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,797) x common factors =1 x 1 = 1
LCM(55,797) = ( 55 × 797 ) / 1
LCM(55,797) = 43835 / 1
LCM(55,797) = 43835
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 6304/55, 5238/797?
Answer: GCF of Numerators as per given numbers 6304/55, 5238/797 is
GCF of Numerators i.e. for 6304,5238 is 2
LCM of denominators i.e. for 55,797 is 43835.
Thus, GCF of Fractions is 2/43835.Finally, GCF of Fractions for 6304/55, 5238/797 is 2/43835.