Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9594/29,4844/326
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 9594,4844
Greatest Common Factor of Numerators i.e. GCF of 9594,4844 is 2 .
LCM of Denominators means LCM of 29,326 as per the given fractions.
LCM of 29,326 is 9454 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9594,4844
2 | 9594, 4844 |
4797, 2422 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9594
List of positive integer factors of 9594 that divides 9594 without a remainder.
1,2,3,6,9,13,18,26,39,41,78,82,117,123,234,246,369,533,738,1066,1599,3198,4797,9594
Factors of 4844
List of positive integer factors of 4844 that divides 4844 without a remainder.
1,2,4,7,14,28,173,346,692,1211,2422,4844
Greatest Common Factor
We found the factors 9594,4844 . The biggest common factor number is the GCF number.
So the greatest common factor 9594,4844 is 2.
Lets's calculate LCM of 29,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 9454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9454
Therefore, the GCF of Fractions 9594/29,4844/326 is 2/9454
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 29,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,326) x common factors =1 x 1 = 1
LCM(29,326) = ( 29 × 326 ) / 1
LCM(29,326) = 9454 / 1
LCM(29,326) = 9454
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 9594/29, 4844/326?
Answer: GCF of Numerators as per given numbers 9594/29, 4844/326 is
GCF of Numerators i.e. for 9594,4844 is 2
LCM of denominators i.e. for 29,326 is 9454.
Thus, GCF of Fractions is 2/9454.Finally, GCF of Fractions for 9594/29, 4844/326 is 2/9454.