Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9859/337,8265/4721
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 9859,8265
Greatest Common Factor of Numerators i.e. GCF of 9859,8265 is 1 .
LCM of Denominators means LCM of 337,4721 as per the given fractions.
LCM of 337,4721 is 1590977 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9859,8265
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9859
List of positive integer factors of 9859 that divides 9859 without a remainder.
1,9859
Factors of 8265
List of positive integer factors of 8265 that divides 8265 without a remainder.
1,3,5,15,19,29,57,87,95,145,285,435,551,1653,2755,8265
Greatest Common Factor
We found the factors 9859,8265 . The biggest common factor number is the GCF number.
So the greatest common factor 9859,8265 is 1.
Lets's calculate LCM of 337,4721
Given numbers has no common factors except 1. So, there LCM is their product i.e 1590977
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1590977
Therefore, the GCF of Fractions 9859/337,8265/4721 is 1/1590977
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 337,4721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,4721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,4721) x common factors =1 x 1 = 1
LCM(337,4721) = ( 337 × 4721 ) / 1
LCM(337,4721) = 1590977 / 1
LCM(337,4721) = 1590977
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 9859/337, 8265/4721?
Answer: GCF of Numerators as per given numbers 9859/337, 8265/4721 is
GCF of Numerators i.e. for 9859,8265 is 1
LCM of denominators i.e. for 337,4721 is 1590977.
Thus, GCF of Fractions is 1/1590977.Finally, GCF of Fractions for 9859/337, 8265/4721 is 1/1590977.