Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5947/28,6939/975
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 5947,6939
Greatest Common Factor of Numerators i.e. GCF of 5947,6939 is 1 .
LCM of Denominators means LCM of 28,975 as per the given fractions.
LCM of 28,975 is 27300 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5947,6939
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5947
List of positive integer factors of 5947 that divides 5947 without a remainder.
1,19,313,5947
Factors of 6939
List of positive integer factors of 6939 that divides 6939 without a remainder.
1,3,9,27,257,771,2313,6939
Greatest Common Factor
We found the factors 5947,6939 . The biggest common factor number is the GCF number.
So the greatest common factor 5947,6939 is 1.
Lets's calculate LCM of 28,975
Given numbers has no common factors except 1. So, there LCM is their product i.e 27300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27300
Therefore, the GCF of Fractions 5947/28,6939/975 is 1/27300
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 28,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,975) x common factors =1 x 1 = 1
LCM(28,975) = ( 28 × 975 ) / 1
LCM(28,975) = 27300 / 1
LCM(28,975) = 27300
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 5947/28, 6939/975?
Answer: GCF of Numerators as per given numbers 5947/28, 6939/975 is
GCF of Numerators i.e. for 5947,6939 is 1
LCM of denominators i.e. for 28,975 is 27300.
Thus, GCF of Fractions is 1/27300.Finally, GCF of Fractions for 5947/28, 6939/975 is 1/27300.