Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7726/362,8633/3831
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 7726,8633
Greatest Common Factor of Numerators i.e. GCF of 7726,8633 is 1 .
LCM of Denominators means LCM of 362,3831 as per the given fractions.
LCM of 362,3831 is 1386822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7726,8633
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7726
List of positive integer factors of 7726 that divides 7726 without a remainder.
1,2,3863,7726
Factors of 8633
List of positive integer factors of 8633 that divides 8633 without a remainder.
1,89,97,8633
Greatest Common Factor
We found the factors 7726,8633 . The biggest common factor number is the GCF number.
So the greatest common factor 7726,8633 is 1.
Lets's calculate LCM of 362,3831
Given numbers has no common factors except 1. So, there LCM is their product i.e 1386822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386822
Therefore, the GCF of Fractions 7726/362,8633/3831 is 1/1386822
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 362,3831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,3831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,3831) x common factors =1 x 1 = 1
LCM(362,3831) = ( 362 × 3831 ) / 1
LCM(362,3831) = 1386822 / 1
LCM(362,3831) = 1386822
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 7726/362, 8633/3831?
Answer: GCF of Numerators as per given numbers 7726/362, 8633/3831 is
GCF of Numerators i.e. for 7726,8633 is 1
LCM of denominators i.e. for 362,3831 is 1386822.
Thus, GCF of Fractions is 1/1386822.Finally, GCF of Fractions for 7726/362, 8633/3831 is 1/1386822.