Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 803/367,7831/2808
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 803,7831
Greatest Common Factor of Numerators i.e. GCF of 803,7831 is 1 .
LCM of Denominators means LCM of 367,2808 as per the given fractions.
LCM of 367,2808 is 1030536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 803,7831
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 7831
List of positive integer factors of 7831 that divides 7831 without a remainder.
1,41,191,7831
Greatest Common Factor
We found the factors 803,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 803,7831 is 1.
Lets's calculate LCM of 367,2808
Given numbers has no common factors except 1. So, there LCM is their product i.e 1030536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1030536
Therefore, the GCF of Fractions 803/367,7831/2808 is 1/1030536
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 367,2808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,2808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,2808) x common factors =1 x 1 = 1
LCM(367,2808) = ( 367 × 2808 ) / 1
LCM(367,2808) = 1030536 / 1
LCM(367,2808) = 1030536
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 803/367, 7831/2808?
Answer: GCF of Numerators as per given numbers 803/367, 7831/2808 is
GCF of Numerators i.e. for 803,7831 is 1
LCM of denominators i.e. for 367,2808 is 1030536.
Thus, GCF of Fractions is 1/1030536.Finally, GCF of Fractions for 803/367, 7831/2808 is 1/1030536.