Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9643/327,4583/1621
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 9643,4583
Greatest Common Factor of Numerators i.e. GCF of 9643,4583 is 1 .
LCM of Denominators means LCM of 327,1621 as per the given fractions.
LCM of 327,1621 is 530067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9643,4583
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9643
List of positive integer factors of 9643 that divides 9643 without a remainder.
1,9643
Factors of 4583
List of positive integer factors of 4583 that divides 4583 without a remainder.
1,4583
Greatest Common Factor
We found the factors 9643,4583 . The biggest common factor number is the GCF number.
So the greatest common factor 9643,4583 is 1.
Lets's calculate LCM of 327,1621
Given numbers has no common factors except 1. So, there LCM is their product i.e 530067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530067
Therefore, the GCF of Fractions 9643/327,4583/1621 is 1/530067
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 327,1621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,1621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,1621) x common factors =1 x 1 = 1
LCM(327,1621) = ( 327 × 1621 ) / 1
LCM(327,1621) = 530067 / 1
LCM(327,1621) = 530067
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 9643/327, 4583/1621?
Answer: GCF of Numerators as per given numbers 9643/327, 4583/1621 is
GCF of Numerators i.e. for 9643,4583 is 1
LCM of denominators i.e. for 327,1621 is 530067.
Thus, GCF of Fractions is 1/530067.Finally, GCF of Fractions for 9643/327, 4583/1621 is 1/530067.