Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9862/303,6881/198
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 9862,6881
Greatest Common Factor of Numerators i.e. GCF of 9862,6881 is 1 .
LCM of Denominators means LCM of 303,198 as per the given fractions.
LCM of 303,198 is 19998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9862,6881
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9862
List of positive integer factors of 9862 that divides 9862 without a remainder.
1,2,4931,9862
Factors of 6881
List of positive integer factors of 6881 that divides 6881 without a remainder.
1,7,983,6881
Greatest Common Factor
We found the factors 9862,6881 . The biggest common factor number is the GCF number.
So the greatest common factor 9862,6881 is 1.
Lets's calculate LCM of 303,198
3 | 303, 198 |
101, 66 |
∴ So the LCM of the given numbers is 3 x 101 x 66 = 19998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19998
Therefore, the GCF of Fractions 9862/303,6881/198 is 1/19998
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 303,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(303,198) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(303,198) x common factors =3 x 1 = 3
LCM(303,198) = ( 303 × 198 ) / 3
LCM(303,198) = 59994 / 3
LCM(303,198) = 19998
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 9862/303, 6881/198?
Answer: GCF of Numerators as per given numbers 9862/303, 6881/198 is
GCF of Numerators i.e. for 9862,6881 is 1
LCM of denominators i.e. for 303,198 is 19998.
Thus, GCF of Fractions is 1/19998.Finally, GCF of Fractions for 9862/303, 6881/198 is 1/19998.