Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8863/158,2886/424
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 8863,2886
Greatest Common Factor of Numerators i.e. GCF of 8863,2886 is 1 .
LCM of Denominators means LCM of 158,424 as per the given fractions.
LCM of 158,424 is 33496 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8863,2886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8863
List of positive integer factors of 8863 that divides 8863 without a remainder.
1,8863
Factors of 2886
List of positive integer factors of 2886 that divides 2886 without a remainder.
1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Greatest Common Factor
We found the factors 8863,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 8863,2886 is 1.
Lets's calculate LCM of 158,424
2 | 158, 424 |
79, 212 |
∴ So the LCM of the given numbers is 2 x 79 x 212 = 33496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33496
Therefore, the GCF of Fractions 8863/158,2886/424 is 1/33496
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 158,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,424) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,424) x common factors =2 x 1 = 2
LCM(158,424) = ( 158 × 424 ) / 2
LCM(158,424) = 66992 / 2
LCM(158,424) = 33496
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 8863/158, 2886/424?
Answer: GCF of Numerators as per given numbers 8863/158, 2886/424 is
GCF of Numerators i.e. for 8863,2886 is 1
LCM of denominators i.e. for 158,424 is 33496.
Thus, GCF of Fractions is 1/33496.Finally, GCF of Fractions for 8863/158, 2886/424 is 1/33496.