Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9539/241,6621/605
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 9539,6621
Greatest Common Factor of Numerators i.e. GCF of 9539,6621 is 1 .
LCM of Denominators means LCM of 241,605 as per the given fractions.
LCM of 241,605 is 145805 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9539,6621
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9539
List of positive integer factors of 9539 that divides 9539 without a remainder.
1,9539
Factors of 6621
List of positive integer factors of 6621 that divides 6621 without a remainder.
1,3,2207,6621
Greatest Common Factor
We found the factors 9539,6621 . The biggest common factor number is the GCF number.
So the greatest common factor 9539,6621 is 1.
Lets's calculate LCM of 241,605
Given numbers has no common factors except 1. So, there LCM is their product i.e 145805
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/145805
Therefore, the GCF of Fractions 9539/241,6621/605 is 1/145805
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 241,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,605) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,605) x common factors =1 x 1 = 1
LCM(241,605) = ( 241 × 605 ) / 1
LCM(241,605) = 145805 / 1
LCM(241,605) = 145805
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 9539/241, 6621/605?
Answer: GCF of Numerators as per given numbers 9539/241, 6621/605 is
GCF of Numerators i.e. for 9539,6621 is 1
LCM of denominators i.e. for 241,605 is 145805.
Thus, GCF of Fractions is 1/145805.Finally, GCF of Fractions for 9539/241, 6621/605 is 1/145805.