Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3937/53,4954/847
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 3937,4954
Greatest Common Factor of Numerators i.e. GCF of 3937,4954 is 1 .
LCM of Denominators means LCM of 53,847 as per the given fractions.
LCM of 53,847 is 44891 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3937,4954
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3937
List of positive integer factors of 3937 that divides 3937 without a remainder.
1,31,127,3937
Factors of 4954
List of positive integer factors of 4954 that divides 4954 without a remainder.
1,2,2477,4954
Greatest Common Factor
We found the factors 3937,4954 . The biggest common factor number is the GCF number.
So the greatest common factor 3937,4954 is 1.
Lets's calculate LCM of 53,847
Given numbers has no common factors except 1. So, there LCM is their product i.e 44891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44891
Therefore, the GCF of Fractions 3937/53,4954/847 is 1/44891
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 53,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,847) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,847) x common factors =1 x 1 = 1
LCM(53,847) = ( 53 × 847 ) / 1
LCM(53,847) = 44891 / 1
LCM(53,847) = 44891
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 3937/53, 4954/847?
Answer: GCF of Numerators as per given numbers 3937/53, 4954/847 is
GCF of Numerators i.e. for 3937,4954 is 1
LCM of denominators i.e. for 53,847 is 44891.
Thus, GCF of Fractions is 1/44891.Finally, GCF of Fractions for 3937/53, 4954/847 is 1/44891.