Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9859/24,7753/113
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 9859,7753
Greatest Common Factor of Numerators i.e. GCF of 9859,7753 is 1 .
LCM of Denominators means LCM of 24,113 as per the given fractions.
LCM of 24,113 is 2712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9859,7753
∴ 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 7753
List of positive integer factors of 7753 that divides 7753 without a remainder.
1,7753
Greatest Common Factor
We found the factors 9859,7753 . The biggest common factor number is the GCF number.
So the greatest common factor 9859,7753 is 1.
Lets's calculate LCM of 24,113
Given numbers has no common factors except 1. So, there LCM is their product i.e 2712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2712
Therefore, the GCF of Fractions 9859/24,7753/113 is 1/2712
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 24,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,113) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,113) x common factors =1 x 1 = 1
LCM(24,113) = ( 24 × 113 ) / 1
LCM(24,113) = 2712 / 1
LCM(24,113) = 2712
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 9859/24, 7753/113?
Answer: GCF of Numerators as per given numbers 9859/24, 7753/113 is
GCF of Numerators i.e. for 9859,7753 is 1
LCM of denominators i.e. for 24,113 is 2712.
Thus, GCF of Fractions is 1/2712.Finally, GCF of Fractions for 9859/24, 7753/113 is 1/2712.