Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7317/296,9928/4463
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 7317,9928
Greatest Common Factor of Numerators i.e. GCF of 7317,9928 is 1 .
LCM of Denominators means LCM of 296,4463 as per the given fractions.
LCM of 296,4463 is 1321048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7317,9928
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7317
List of positive integer factors of 7317 that divides 7317 without a remainder.
1,3,9,27,271,813,2439,7317
Factors of 9928
List of positive integer factors of 9928 that divides 9928 without a remainder.
1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Greatest Common Factor
We found the factors 7317,9928 . The biggest common factor number is the GCF number.
So the greatest common factor 7317,9928 is 1.
Lets's calculate LCM of 296,4463
Given numbers has no common factors except 1. So, there LCM is their product i.e 1321048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1321048
Therefore, the GCF of Fractions 7317/296,9928/4463 is 1/1321048
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 296,4463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,4463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,4463) x common factors =1 x 1 = 1
LCM(296,4463) = ( 296 × 4463 ) / 1
LCM(296,4463) = 1321048 / 1
LCM(296,4463) = 1321048
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 7317/296, 9928/4463?
Answer: GCF of Numerators as per given numbers 7317/296, 9928/4463 is
GCF of Numerators i.e. for 7317,9928 is 1
LCM of denominators i.e. for 296,4463 is 1321048.
Thus, GCF of Fractions is 1/1321048.Finally, GCF of Fractions for 7317/296, 9928/4463 is 1/1321048.