Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 428/323,9311/7522
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 428,9311
Greatest Common Factor of Numerators i.e. GCF of 428,9311 is 1 .
LCM of Denominators means LCM of 323,7522 as per the given fractions.
LCM of 323,7522 is 2429606 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 428,9311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 428
List of positive integer factors of 428 that divides 428 without a remainder.
1,2,4,107,214,428
Factors of 9311
List of positive integer factors of 9311 that divides 9311 without a remainder.
1,9311
Greatest Common Factor
We found the factors 428,9311 . The biggest common factor number is the GCF number.
So the greatest common factor 428,9311 is 1.
Lets's calculate LCM of 323,7522
Given numbers has no common factors except 1. So, there LCM is their product i.e 2429606
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2429606
Therefore, the GCF of Fractions 428/323,9311/7522 is 1/2429606
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 323,7522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,7522) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,7522) x common factors =1 x 1 = 1
LCM(323,7522) = ( 323 × 7522 ) / 1
LCM(323,7522) = 2429606 / 1
LCM(323,7522) = 2429606
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 428/323, 9311/7522?
Answer: GCF of Numerators as per given numbers 428/323, 9311/7522 is
GCF of Numerators i.e. for 428,9311 is 1
LCM of denominators i.e. for 323,7522 is 2429606.
Thus, GCF of Fractions is 1/2429606.Finally, GCF of Fractions for 428/323, 9311/7522 is 1/2429606.