Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/727,5865/1381
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 82,5865
Greatest Common Factor of Numerators i.e. GCF of 82,5865 is 1 .
LCM of Denominators means LCM of 727,1381 as per the given fractions.
LCM of 727,1381 is 1003987 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,5865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 5865
List of positive integer factors of 5865 that divides 5865 without a remainder.
1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Greatest Common Factor
We found the factors 82,5865 . The biggest common factor number is the GCF number.
So the greatest common factor 82,5865 is 1.
Lets's calculate LCM of 727,1381
Given numbers has no common factors except 1. So, there LCM is their product i.e 1003987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1003987
Therefore, the GCF of Fractions 82/727,5865/1381 is 1/1003987
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 727,1381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,1381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,1381) x common factors =1 x 1 = 1
LCM(727,1381) = ( 727 × 1381 ) / 1
LCM(727,1381) = 1003987 / 1
LCM(727,1381) = 1003987
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 82/727, 5865/1381?
Answer: GCF of Numerators as per given numbers 82/727, 5865/1381 is
GCF of Numerators i.e. for 82,5865 is 1
LCM of denominators i.e. for 727,1381 is 1003987.
Thus, GCF of Fractions is 1/1003987.Finally, GCF of Fractions for 82/727, 5865/1381 is 1/1003987.