Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3711/527,9831/1439
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 3711,9831
Greatest Common Factor of Numerators i.e. GCF of 3711,9831 is 3 .
LCM of Denominators means LCM of 527,1439 as per the given fractions.
LCM of 527,1439 is 758353 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3711,9831
3 | 3711, 9831 |
1237, 3277 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 3711
List of positive integer factors of 3711 that divides 3711 without a remainder.
1,3,1237,3711
Factors of 9831
List of positive integer factors of 9831 that divides 9831 without a remainder.
1,3,29,87,113,339,3277,9831
Greatest Common Factor
We found the factors 3711,9831 . The biggest common factor number is the GCF number.
So the greatest common factor 3711,9831 is 3.
Lets's calculate LCM of 527,1439
Given numbers has no common factors except 1. So, there LCM is their product i.e 758353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/758353
Therefore, the GCF of Fractions 3711/527,9831/1439 is 3/758353
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 527,1439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(527,1439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(527,1439) x common factors =1 x 1 = 1
LCM(527,1439) = ( 527 × 1439 ) / 1
LCM(527,1439) = 758353 / 1
LCM(527,1439) = 758353
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 3711/527, 9831/1439?
Answer: GCF of Numerators as per given numbers 3711/527, 9831/1439 is
GCF of Numerators i.e. for 3711,9831 is 3
LCM of denominators i.e. for 527,1439 is 758353.
Thus, GCF of Fractions is 3/758353.Finally, GCF of Fractions for 3711/527, 9831/1439 is 3/758353.