Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7116/123,3497/5486
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 7116,3497
Greatest Common Factor of Numerators i.e. GCF of 7116,3497 is 1 .
LCM of Denominators means LCM of 123,5486 as per the given fractions.
LCM of 123,5486 is 674778 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7116,3497
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7116
List of positive integer factors of 7116 that divides 7116 without a remainder.
1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Factors of 3497
List of positive integer factors of 3497 that divides 3497 without a remainder.
1,13,269,3497
Greatest Common Factor
We found the factors 7116,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,3497 is 1.
Lets's calculate LCM of 123,5486
Given numbers has no common factors except 1. So, there LCM is their product i.e 674778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674778
Therefore, the GCF of Fractions 7116/123,3497/5486 is 1/674778
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 123,5486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,5486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,5486) x common factors =1 x 1 = 1
LCM(123,5486) = ( 123 × 5486 ) / 1
LCM(123,5486) = 674778 / 1
LCM(123,5486) = 674778
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 7116/123, 3497/5486?
Answer: GCF of Numerators as per given numbers 7116/123, 3497/5486 is
GCF of Numerators i.e. for 7116,3497 is 1
LCM of denominators i.e. for 123,5486 is 674778.
Thus, GCF of Fractions is 1/674778.Finally, GCF of Fractions for 7116/123, 3497/5486 is 1/674778.