Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9263/117,2109/4599
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 9263,2109
Greatest Common Factor of Numerators i.e. GCF of 9263,2109 is 1 .
LCM of Denominators means LCM of 117,4599 as per the given fractions.
LCM of 117,4599 is 59787 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9263,2109
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9263
List of positive integer factors of 9263 that divides 9263 without a remainder.
1,59,157,9263
Factors of 2109
List of positive integer factors of 2109 that divides 2109 without a remainder.
1,3,19,37,57,111,703,2109
Greatest Common Factor
We found the factors 9263,2109 . The biggest common factor number is the GCF number.
So the greatest common factor 9263,2109 is 1.
Lets's calculate LCM of 117,4599
3 | 117, 4599 |
3 | 39, 1533 |
13, 511 |
∴ So the LCM of the given numbers is 3 x 3 x 13 x 511 = 59787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59787
Therefore, the GCF of Fractions 9263/117,2109/4599 is 1/59787
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 117,4599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,4599) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(117,4599) x common factors =9 x 1 = 9
LCM(117,4599) = ( 117 × 4599 ) / 9
LCM(117,4599) = 538083 / 9
LCM(117,4599) = 59787
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 9263/117, 2109/4599?
Answer: GCF of Numerators as per given numbers 9263/117, 2109/4599 is
GCF of Numerators i.e. for 9263,2109 is 1
LCM of denominators i.e. for 117,4599 is 59787.
Thus, GCF of Fractions is 1/59787.Finally, GCF of Fractions for 9263/117, 2109/4599 is 1/59787.