Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5942/186,8035/2365
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 5942,8035
Greatest Common Factor of Numerators i.e. GCF of 5942,8035 is 1 .
LCM of Denominators means LCM of 186,2365 as per the given fractions.
LCM of 186,2365 is 439890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5942,8035
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5942
List of positive integer factors of 5942 that divides 5942 without a remainder.
1,2,2971,5942
Factors of 8035
List of positive integer factors of 8035 that divides 8035 without a remainder.
1,5,1607,8035
Greatest Common Factor
We found the factors 5942,8035 . The biggest common factor number is the GCF number.
So the greatest common factor 5942,8035 is 1.
Lets's calculate LCM of 186,2365
Given numbers has no common factors except 1. So, there LCM is their product i.e 439890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439890
Therefore, the GCF of Fractions 5942/186,8035/2365 is 1/439890
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 186,2365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,2365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(186,2365) x common factors =1 x 1 = 1
LCM(186,2365) = ( 186 × 2365 ) / 1
LCM(186,2365) = 439890 / 1
LCM(186,2365) = 439890
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 5942/186, 8035/2365?
Answer: GCF of Numerators as per given numbers 5942/186, 8035/2365 is
GCF of Numerators i.e. for 5942,8035 is 1
LCM of denominators i.e. for 186,2365 is 439890.
Thus, GCF of Fractions is 1/439890.Finally, GCF of Fractions for 5942/186, 8035/2365 is 1/439890.