Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2467/199,2916/388
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 2467,2916
Greatest Common Factor of Numerators i.e. GCF of 2467,2916 is 1 .
LCM of Denominators means LCM of 199,388 as per the given fractions.
LCM of 199,388 is 77212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2467,2916
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2467
List of positive integer factors of 2467 that divides 2467 without a remainder.
1,2467
Factors of 2916
List of positive integer factors of 2916 that divides 2916 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,729,972,1458,2916
Greatest Common Factor
We found the factors 2467,2916 . The biggest common factor number is the GCF number.
So the greatest common factor 2467,2916 is 1.
Lets's calculate LCM of 199,388
Given numbers has no common factors except 1. So, there LCM is their product i.e 77212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77212
Therefore, the GCF of Fractions 2467/199,2916/388 is 1/77212
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 199,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,388) x common factors =1 x 1 = 1
LCM(199,388) = ( 199 × 388 ) / 1
LCM(199,388) = 77212 / 1
LCM(199,388) = 77212
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 2467/199, 2916/388?
Answer: GCF of Numerators as per given numbers 2467/199, 2916/388 is
GCF of Numerators i.e. for 2467,2916 is 1
LCM of denominators i.e. for 199,388 is 77212.
Thus, GCF of Fractions is 1/77212.Finally, GCF of Fractions for 2467/199, 2916/388 is 1/77212.