Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7701/248,9191/1512
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 7701,9191
Greatest Common Factor of Numerators i.e. GCF of 7701,9191 is 1 .
LCM of Denominators means LCM of 248,1512 as per the given fractions.
LCM of 248,1512 is 46872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7701,9191
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7701
List of positive integer factors of 7701 that divides 7701 without a remainder.
1,3,17,51,151,453,2567,7701
Factors of 9191
List of positive integer factors of 9191 that divides 9191 without a remainder.
1,7,13,91,101,707,1313,9191
Greatest Common Factor
We found the factors 7701,9191 . The biggest common factor number is the GCF number.
So the greatest common factor 7701,9191 is 1.
Lets's calculate LCM of 248,1512
2 | 248, 1512 |
2 | 124, 756 |
2 | 62, 378 |
31, 189 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 189 = 46872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46872
Therefore, the GCF of Fractions 7701/248,9191/1512 is 1/46872
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 248,1512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,1512) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(248,1512) x common factors =8 x 1 = 8
LCM(248,1512) = ( 248 × 1512 ) / 8
LCM(248,1512) = 374976 / 8
LCM(248,1512) = 46872
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 7701/248, 9191/1512?
Answer: GCF of Numerators as per given numbers 7701/248, 9191/1512 is
GCF of Numerators i.e. for 7701,9191 is 1
LCM of denominators i.e. for 248,1512 is 46872.
Thus, GCF of Fractions is 1/46872.Finally, GCF of Fractions for 7701/248, 9191/1512 is 1/46872.