Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 311/28,5918/706
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 311,5918
Greatest Common Factor of Numerators i.e. GCF of 311,5918 is 1 .
LCM of Denominators means LCM of 28,706 as per the given fractions.
LCM of 28,706 is 9884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 311,5918
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 311
List of positive integer factors of 311 that divides 311 without a remainder.
1,311
Factors of 5918
List of positive integer factors of 5918 that divides 5918 without a remainder.
1,2,11,22,269,538,2959,5918
Greatest Common Factor
We found the factors 311,5918 . The biggest common factor number is the GCF number.
So the greatest common factor 311,5918 is 1.
Lets's calculate LCM of 28,706
2 | 28, 706 |
14, 353 |
∴ So the LCM of the given numbers is 2 x 14 x 353 = 9884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9884
Therefore, the GCF of Fractions 311/28,5918/706 is 1/9884
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 28,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,706) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,706) x common factors =2 x 1 = 2
LCM(28,706) = ( 28 × 706 ) / 2
LCM(28,706) = 19768 / 2
LCM(28,706) = 9884
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 311/28, 5918/706?
Answer: GCF of Numerators as per given numbers 311/28, 5918/706 is
GCF of Numerators i.e. for 311,5918 is 1
LCM of denominators i.e. for 28,706 is 9884.
Thus, GCF of Fractions is 1/9884.Finally, GCF of Fractions for 311/28, 5918/706 is 1/9884.