Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8170/313,6269/4541
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 8170,6269
Greatest Common Factor of Numerators i.e. GCF of 8170,6269 is 1 .
LCM of Denominators means LCM of 313,4541 as per the given fractions.
LCM of 313,4541 is 1421333 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8170,6269
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8170
List of positive integer factors of 8170 that divides 8170 without a remainder.
1,2,5,10,19,38,43,86,95,190,215,430,817,1634,4085,8170
Factors of 6269
List of positive integer factors of 6269 that divides 6269 without a remainder.
1,6269
Greatest Common Factor
We found the factors 8170,6269 . The biggest common factor number is the GCF number.
So the greatest common factor 8170,6269 is 1.
Lets's calculate LCM of 313,4541
Given numbers has no common factors except 1. So, there LCM is their product i.e 1421333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1421333
Therefore, the GCF of Fractions 8170/313,6269/4541 is 1/1421333
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 313,4541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,4541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,4541) x common factors =1 x 1 = 1
LCM(313,4541) = ( 313 × 4541 ) / 1
LCM(313,4541) = 1421333 / 1
LCM(313,4541) = 1421333
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 8170/313, 6269/4541?
Answer: GCF of Numerators as per given numbers 8170/313, 6269/4541 is
GCF of Numerators i.e. for 8170,6269 is 1
LCM of denominators i.e. for 313,4541 is 1421333.
Thus, GCF of Fractions is 1/1421333.Finally, GCF of Fractions for 8170/313, 6269/4541 is 1/1421333.