Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9334/54,2833/507
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 9334,2833
Greatest Common Factor of Numerators i.e. GCF of 9334,2833 is 1 .
LCM of Denominators means LCM of 54,507 as per the given fractions.
LCM of 54,507 is 9126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9334,2833
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9334
List of positive integer factors of 9334 that divides 9334 without a remainder.
1,2,13,26,359,718,4667,9334
Factors of 2833
List of positive integer factors of 2833 that divides 2833 without a remainder.
1,2833
Greatest Common Factor
We found the factors 9334,2833 . The biggest common factor number is the GCF number.
So the greatest common factor 9334,2833 is 1.
Lets's calculate LCM of 54,507
3 | 54, 507 |
18, 169 |
∴ So the LCM of the given numbers is 3 x 18 x 169 = 9126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9126
Therefore, the GCF of Fractions 9334/54,2833/507 is 1/9126
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 54,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,507) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(54,507) x common factors =3 x 1 = 3
LCM(54,507) = ( 54 × 507 ) / 3
LCM(54,507) = 27378 / 3
LCM(54,507) = 9126
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 9334/54, 2833/507?
Answer: GCF of Numerators as per given numbers 9334/54, 2833/507 is
GCF of Numerators i.e. for 9334,2833 is 1
LCM of denominators i.e. for 54,507 is 9126.
Thus, GCF of Fractions is 1/9126.Finally, GCF of Fractions for 9334/54, 2833/507 is 1/9126.