Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9963/134,4347/2357
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 9963,4347
Greatest Common Factor of Numerators i.e. GCF of 9963,4347 is 27 .
LCM of Denominators means LCM of 134,2357 as per the given fractions.
LCM of 134,2357 is 315838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9963,4347
3 | 9963, 4347 |
3 | 3321, 1449 |
3 | 1107, 483 |
369, 161 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Factors of 9963
List of positive integer factors of 9963 that divides 9963 without a remainder.
1,3,9,27,41,81,123,243,369,1107,3321,9963
Factors of 4347
List of positive integer factors of 4347 that divides 4347 without a remainder.
1,3,7,9,21,23,27,63,69,161,189,207,483,621,1449,4347
Greatest Common Factor
We found the factors 9963,4347 . The biggest common factor number is the GCF number.
So the greatest common factor 9963,4347 is 27.
Lets's calculate LCM of 134,2357
Given numbers has no common factors except 1. So, there LCM is their product i.e 315838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/315838
Therefore, the GCF of Fractions 9963/134,4347/2357 is 27/315838
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 134,2357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,2357) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,2357) x common factors =1 x 1 = 1
LCM(134,2357) = ( 134 × 2357 ) / 1
LCM(134,2357) = 315838 / 1
LCM(134,2357) = 315838
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 9963/134, 4347/2357?
Answer: GCF of Numerators as per given numbers 9963/134, 4347/2357 is
GCF of Numerators i.e. for 9963,4347 is 27
LCM of denominators i.e. for 134,2357 is 315838.
Thus, GCF of Fractions is 27/315838.Finally, GCF of Fractions for 9963/134, 4347/2357 is 27/315838.