Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5307/519,1317/2677
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 5307,1317
Greatest Common Factor of Numerators i.e. GCF of 5307,1317 is 3 .
LCM of Denominators means LCM of 519,2677 as per the given fractions.
LCM of 519,2677 is 1389363 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5307,1317
3 | 5307, 1317 |
1769, 439 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5307
List of positive integer factors of 5307 that divides 5307 without a remainder.
1,3,29,61,87,183,1769,5307
Factors of 1317
List of positive integer factors of 1317 that divides 1317 without a remainder.
1,3,439,1317
Greatest Common Factor
We found the factors 5307,1317 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,1317 is 3.
Lets's calculate LCM of 519,2677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1389363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1389363
Therefore, the GCF of Fractions 5307/519,1317/2677 is 3/1389363
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 519,2677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,2677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(519,2677) x common factors =1 x 1 = 1
LCM(519,2677) = ( 519 × 2677 ) / 1
LCM(519,2677) = 1389363 / 1
LCM(519,2677) = 1389363
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 5307/519, 1317/2677?
Answer: GCF of Numerators as per given numbers 5307/519, 1317/2677 is
GCF of Numerators i.e. for 5307,1317 is 3
LCM of denominators i.e. for 519,2677 is 1389363.
Thus, GCF of Fractions is 3/1389363.Finally, GCF of Fractions for 5307/519, 1317/2677 is 3/1389363.