Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6109/78,5308/326
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 6109,5308
Greatest Common Factor of Numerators i.e. GCF of 6109,5308 is 1 .
LCM of Denominators means LCM of 78,326 as per the given fractions.
LCM of 78,326 is 12714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6109,5308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6109
List of positive integer factors of 6109 that divides 6109 without a remainder.
1,41,149,6109
Factors of 5308
List of positive integer factors of 5308 that divides 5308 without a remainder.
1,2,4,1327,2654,5308
Greatest Common Factor
We found the factors 6109,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 6109,5308 is 1.
Lets's calculate LCM of 78,326
2 | 78, 326 |
39, 163 |
∴ So the LCM of the given numbers is 2 x 39 x 163 = 12714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12714
Therefore, the GCF of Fractions 6109/78,5308/326 is 1/12714
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 78,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(78,326) x common factors =2 x 1 = 2
LCM(78,326) = ( 78 × 326 ) / 2
LCM(78,326) = 25428 / 2
LCM(78,326) = 12714
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 6109/78, 5308/326?
Answer: GCF of Numerators as per given numbers 6109/78, 5308/326 is
GCF of Numerators i.e. for 6109,5308 is 1
LCM of denominators i.e. for 78,326 is 12714.
Thus, GCF of Fractions is 1/12714.Finally, GCF of Fractions for 6109/78, 5308/326 is 1/12714.