Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7041/986,8036/239
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 7041,8036
Greatest Common Factor of Numerators i.e. GCF of 7041,8036 is 1 .
LCM of Denominators means LCM of 986,239 as per the given fractions.
LCM of 986,239 is 235654 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7041,8036
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7041
List of positive integer factors of 7041 that divides 7041 without a remainder.
1,3,2347,7041
Factors of 8036
List of positive integer factors of 8036 that divides 8036 without a remainder.
1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036
Greatest Common Factor
We found the factors 7041,8036 . The biggest common factor number is the GCF number.
So the greatest common factor 7041,8036 is 1.
Lets's calculate LCM of 986,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 235654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235654
Therefore, the GCF of Fractions 7041/986,8036/239 is 1/235654
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 986,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,239) x common factors =1 x 1 = 1
LCM(986,239) = ( 986 × 239 ) / 1
LCM(986,239) = 235654 / 1
LCM(986,239) = 235654
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 7041/986, 8036/239?
Answer: GCF of Numerators as per given numbers 7041/986, 8036/239 is
GCF of Numerators i.e. for 7041,8036 is 1
LCM of denominators i.e. for 986,239 is 235654.
Thus, GCF of Fractions is 1/235654.Finally, GCF of Fractions for 7041/986, 8036/239 is 1/235654.