Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9013/341,6711/3533
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 9013,6711
Greatest Common Factor of Numerators i.e. GCF of 9013,6711 is 1 .
LCM of Denominators means LCM of 341,3533 as per the given fractions.
LCM of 341,3533 is 1204753 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9013,6711
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9013
List of positive integer factors of 9013 that divides 9013 without a remainder.
1,9013
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1,3,2237,6711
Greatest Common Factor
We found the factors 9013,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 9013,6711 is 1.
Lets's calculate LCM of 341,3533
Given numbers has no common factors except 1. So, there LCM is their product i.e 1204753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1204753
Therefore, the GCF of Fractions 9013/341,6711/3533 is 1/1204753
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 341,3533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,3533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,3533) x common factors =1 x 1 = 1
LCM(341,3533) = ( 341 × 3533 ) / 1
LCM(341,3533) = 1204753 / 1
LCM(341,3533) = 1204753
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 9013/341, 6711/3533?
Answer: GCF of Numerators as per given numbers 9013/341, 6711/3533 is
GCF of Numerators i.e. for 9013,6711 is 1
LCM of denominators i.e. for 341,3533 is 1204753.
Thus, GCF of Fractions is 1/1204753.Finally, GCF of Fractions for 9013/341, 6711/3533 is 1/1204753.