Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4651/404,9886/6871
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 4651,9886
Greatest Common Factor of Numerators i.e. GCF of 4651,9886 is 1 .
LCM of Denominators means LCM of 404,6871 as per the given fractions.
LCM of 404,6871 is 2775884 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4651,9886
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4651
List of positive integer factors of 4651 that divides 4651 without a remainder.
1,4651
Factors of 9886
List of positive integer factors of 9886 that divides 9886 without a remainder.
1,2,4943,9886
Greatest Common Factor
We found the factors 4651,9886 . The biggest common factor number is the GCF number.
So the greatest common factor 4651,9886 is 1.
Lets's calculate LCM of 404,6871
Given numbers has no common factors except 1. So, there LCM is their product i.e 2775884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2775884
Therefore, the GCF of Fractions 4651/404,9886/6871 is 1/2775884
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 404,6871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,6871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,6871) x common factors =1 x 1 = 1
LCM(404,6871) = ( 404 × 6871 ) / 1
LCM(404,6871) = 2775884 / 1
LCM(404,6871) = 2775884
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 4651/404, 9886/6871?
Answer: GCF of Numerators as per given numbers 4651/404, 9886/6871 is
GCF of Numerators i.e. for 4651,9886 is 1
LCM of denominators i.e. for 404,6871 is 2775884.
Thus, GCF of Fractions is 1/2775884.Finally, GCF of Fractions for 4651/404, 9886/6871 is 1/2775884.