Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5568/348,2761/991
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 5568,2761
Greatest Common Factor of Numerators i.e. GCF of 5568,2761 is 1 .
LCM of Denominators means LCM of 348,991 as per the given fractions.
LCM of 348,991 is 344868 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5568,2761
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5568
List of positive integer factors of 5568 that divides 5568 without a remainder.
1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568
Factors of 2761
List of positive integer factors of 2761 that divides 2761 without a remainder.
1,11,251,2761
Greatest Common Factor
We found the factors 5568,2761 . The biggest common factor number is the GCF number.
So the greatest common factor 5568,2761 is 1.
Lets's calculate LCM of 348,991
Given numbers has no common factors except 1. So, there LCM is their product i.e 344868
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344868
Therefore, the GCF of Fractions 5568/348,2761/991 is 1/344868
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 348,991 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,991) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(348,991) x common factors =1 x 1 = 1
LCM(348,991) = ( 348 × 991 ) / 1
LCM(348,991) = 344868 / 1
LCM(348,991) = 344868
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 5568/348, 2761/991?
Answer: GCF of Numerators as per given numbers 5568/348, 2761/991 is
GCF of Numerators i.e. for 5568,2761 is 1
LCM of denominators i.e. for 348,991 is 344868.
Thus, GCF of Fractions is 1/344868.Finally, GCF of Fractions for 5568/348, 2761/991 is 1/344868.