Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 102/691,8469/4284
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 102,8469
Greatest Common Factor of Numerators i.e. GCF of 102,8469 is 3 .
LCM of Denominators means LCM of 691,4284 as per the given fractions.
LCM of 691,4284 is 2960244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 102,8469
3 | 102, 8469 |
34, 2823 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 102
List of positive integer factors of 102 that divides 102 without a remainder.
1,2,3,6,17,34,51,102
Factors of 8469
List of positive integer factors of 8469 that divides 8469 without a remainder.
1,3,9,941,2823,8469
Greatest Common Factor
We found the factors 102,8469 . The biggest common factor number is the GCF number.
So the greatest common factor 102,8469 is 3.
Lets's calculate LCM of 691,4284
Given numbers has no common factors except 1. So, there LCM is their product i.e 2960244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2960244
Therefore, the GCF of Fractions 102/691,8469/4284 is 3/2960244
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 691,4284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,4284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,4284) x common factors =1 x 1 = 1
LCM(691,4284) = ( 691 × 4284 ) / 1
LCM(691,4284) = 2960244 / 1
LCM(691,4284) = 2960244
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 102/691, 8469/4284?
Answer: GCF of Numerators as per given numbers 102/691, 8469/4284 is
GCF of Numerators i.e. for 102,8469 is 3
LCM of denominators i.e. for 691,4284 is 2960244.
Thus, GCF of Fractions is 3/2960244.Finally, GCF of Fractions for 102/691, 8469/4284 is 3/2960244.