Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1155/267,7292/7899
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 1155,7292
Greatest Common Factor of Numerators i.e. GCF of 1155,7292 is 1 .
LCM of Denominators means LCM of 267,7899 as per the given fractions.
LCM of 267,7899 is 703011 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1155,7292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1155
List of positive integer factors of 1155 that divides 1155 without a remainder.
1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Factors of 7292
List of positive integer factors of 7292 that divides 7292 without a remainder.
1,2,4,1823,3646,7292
Greatest Common Factor
We found the factors 1155,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,7292 is 1.
Lets's calculate LCM of 267,7899
3 | 267, 7899 |
89, 2633 |
∴ So the LCM of the given numbers is 3 x 89 x 2633 = 703011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/703011
Therefore, the GCF of Fractions 1155/267,7292/7899 is 1/703011
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 267,7899 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,7899) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(267,7899) x common factors =3 x 1 = 3
LCM(267,7899) = ( 267 × 7899 ) / 3
LCM(267,7899) = 2109033 / 3
LCM(267,7899) = 703011
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 1155/267, 7292/7899?
Answer: GCF of Numerators as per given numbers 1155/267, 7292/7899 is
GCF of Numerators i.e. for 1155,7292 is 1
LCM of denominators i.e. for 267,7899 is 703011.
Thus, GCF of Fractions is 1/703011.Finally, GCF of Fractions for 1155/267, 7292/7899 is 1/703011.