Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6773/891,1586/9294
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 6773,1586
Greatest Common Factor of Numerators i.e. GCF of 6773,1586 is 13 .
LCM of Denominators means LCM of 891,9294 as per the given fractions.
LCM of 891,9294 is 2760318 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6773,1586
13 | 6773, 1586 |
521, 122 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 6773
List of positive integer factors of 6773 that divides 6773 without a remainder.
1,13,521,6773
Factors of 1586
List of positive integer factors of 1586 that divides 1586 without a remainder.
1,2,13,26,61,122,793,1586
Greatest Common Factor
We found the factors 6773,1586 . The biggest common factor number is the GCF number.
So the greatest common factor 6773,1586 is 13.
Lets's calculate LCM of 891,9294
3 | 891, 9294 |
297, 3098 |
∴ So the LCM of the given numbers is 3 x 297 x 3098 = 2760318
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2760318
Therefore, the GCF of Fractions 6773/891,1586/9294 is 13/2760318
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 891,9294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(891,9294) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(891,9294) x common factors =3 x 1 = 3
LCM(891,9294) = ( 891 × 9294 ) / 3
LCM(891,9294) = 8280954 / 3
LCM(891,9294) = 2760318
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 6773/891, 1586/9294?
Answer: GCF of Numerators as per given numbers 6773/891, 1586/9294 is
GCF of Numerators i.e. for 6773,1586 is 13
LCM of denominators i.e. for 891,9294 is 2760318.
Thus, GCF of Fractions is 13/2760318.Finally, GCF of Fractions for 6773/891, 1586/9294 is 13/2760318.