Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 239/327,691/119
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 239,691
Greatest Common Factor of Numerators i.e. GCF of 239,691 is 1 .
LCM of Denominators means LCM of 327,119 as per the given fractions.
LCM of 327,119 is 38913 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 239,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 239,691 . The biggest common factor number is the GCF number.
So the greatest common factor 239,691 is 1.
Lets's calculate LCM of 327,119
Given numbers has no common factors except 1. So, there LCM is their product i.e 38913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38913
Therefore, the GCF of Fractions 239/327,691/119 is 1/38913
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 327,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,119) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(327,119) x common factors =1 x 1 = 1
LCM(327,119) = ( 327 × 119 ) / 1
LCM(327,119) = 38913 / 1
LCM(327,119) = 38913
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 239/327, 691/119?
Answer: GCF of Numerators as per given numbers 239/327, 691/119 is
GCF of Numerators i.e. for 239,691 is 1
LCM of denominators i.e. for 327,119 is 38913.
Thus, GCF of Fractions is 1/38913.Finally, GCF of Fractions for 239/327, 691/119 is 1/38913.