Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1597/118,6663/841
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 1597,6663
Greatest Common Factor of Numerators i.e. GCF of 1597,6663 is 1 .
LCM of Denominators means LCM of 118,841 as per the given fractions.
LCM of 118,841 is 99238 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1597,6663
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1597
List of positive integer factors of 1597 that divides 1597 without a remainder.
1,1597
Factors of 6663
List of positive integer factors of 6663 that divides 6663 without a remainder.
1,3,2221,6663
Greatest Common Factor
We found the factors 1597,6663 . The biggest common factor number is the GCF number.
So the greatest common factor 1597,6663 is 1.
Lets's calculate LCM of 118,841
Given numbers has no common factors except 1. So, there LCM is their product i.e 99238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99238
Therefore, the GCF of Fractions 1597/118,6663/841 is 1/99238
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 118,841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,841) x common factors =1 x 1 = 1
LCM(118,841) = ( 118 × 841 ) / 1
LCM(118,841) = 99238 / 1
LCM(118,841) = 99238
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 1597/118, 6663/841?
Answer: GCF of Numerators as per given numbers 1597/118, 6663/841 is
GCF of Numerators i.e. for 1597,6663 is 1
LCM of denominators i.e. for 118,841 is 99238.
Thus, GCF of Fractions is 1/99238.Finally, GCF of Fractions for 1597/118, 6663/841 is 1/99238.