Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9065/333,6878/258
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 9065,6878
Greatest Common Factor of Numerators i.e. GCF of 9065,6878 is 1 .
LCM of Denominators means LCM of 333,258 as per the given fractions.
LCM of 333,258 is 28638 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9065,6878
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9065
List of positive integer factors of 9065 that divides 9065 without a remainder.
1,5,7,35,37,49,185,245,259,1295,1813,9065
Factors of 6878
List of positive integer factors of 6878 that divides 6878 without a remainder.
1,2,19,38,181,362,3439,6878
Greatest Common Factor
We found the factors 9065,6878 . The biggest common factor number is the GCF number.
So the greatest common factor 9065,6878 is 1.
Lets's calculate LCM of 333,258
3 | 333, 258 |
111, 86 |
∴ So the LCM of the given numbers is 3 x 111 x 86 = 28638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28638
Therefore, the GCF of Fractions 9065/333,6878/258 is 1/28638
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 333,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,258) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,258) x common factors =3 x 1 = 3
LCM(333,258) = ( 333 × 258 ) / 3
LCM(333,258) = 85914 / 3
LCM(333,258) = 28638
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 9065/333, 6878/258?
Answer: GCF of Numerators as per given numbers 9065/333, 6878/258 is
GCF of Numerators i.e. for 9065,6878 is 1
LCM of denominators i.e. for 333,258 is 28638.
Thus, GCF of Fractions is 1/28638.Finally, GCF of Fractions for 9065/333, 6878/258 is 1/28638.