Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/682,7831/4663
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 81,7831
Greatest Common Factor of Numerators i.e. GCF of 81,7831 is 1 .
LCM of Denominators means LCM of 682,4663 as per the given fractions.
LCM of 682,4663 is 3180166 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,7831
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
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 81,7831 . The biggest common factor number is the GCF number.
So the greatest common factor 81,7831 is 1.
Lets's calculate LCM of 682,4663
Given numbers has no common factors except 1. So, there LCM is their product i.e 3180166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3180166
Therefore, the GCF of Fractions 81/682,7831/4663 is 1/3180166
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 682,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,4663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,4663) x common factors =1 x 1 = 1
LCM(682,4663) = ( 682 × 4663 ) / 1
LCM(682,4663) = 3180166 / 1
LCM(682,4663) = 3180166
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 81/682, 7831/4663?
Answer: GCF of Numerators as per given numbers 81/682, 7831/4663 is
GCF of Numerators i.e. for 81,7831 is 1
LCM of denominators i.e. for 682,4663 is 3180166.
Thus, GCF of Fractions is 1/3180166.Finally, GCF of Fractions for 81/682, 7831/4663 is 1/3180166.