Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8779/323,1194/2768
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 8779,1194
Greatest Common Factor of Numerators i.e. GCF of 8779,1194 is 1 .
LCM of Denominators means LCM of 323,2768 as per the given fractions.
LCM of 323,2768 is 894064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8779,1194
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8779
List of positive integer factors of 8779 that divides 8779 without a remainder.
1,8779
Factors of 1194
List of positive integer factors of 1194 that divides 1194 without a remainder.
1,2,3,6,199,398,597,1194
Greatest Common Factor
We found the factors 8779,1194 . The biggest common factor number is the GCF number.
So the greatest common factor 8779,1194 is 1.
Lets's calculate LCM of 323,2768
Given numbers has no common factors except 1. So, there LCM is their product i.e 894064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/894064
Therefore, the GCF of Fractions 8779/323,1194/2768 is 1/894064
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 323,2768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,2768) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,2768) x common factors =1 x 1 = 1
LCM(323,2768) = ( 323 × 2768 ) / 1
LCM(323,2768) = 894064 / 1
LCM(323,2768) = 894064
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 8779/323, 1194/2768?
Answer: GCF of Numerators as per given numbers 8779/323, 1194/2768 is
GCF of Numerators i.e. for 8779,1194 is 1
LCM of denominators i.e. for 323,2768 is 894064.
Thus, GCF of Fractions is 1/894064.Finally, GCF of Fractions for 8779/323, 1194/2768 is 1/894064.