Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9686/422,3911/353
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 9686,3911
Greatest Common Factor of Numerators i.e. GCF of 9686,3911 is 1 .
LCM of Denominators means LCM of 422,353 as per the given fractions.
LCM of 422,353 is 148966 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9686,3911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9686
List of positive integer factors of 9686 that divides 9686 without a remainder.
1,2,29,58,167,334,4843,9686
Factors of 3911
List of positive integer factors of 3911 that divides 3911 without a remainder.
1,3911
Greatest Common Factor
We found the factors 9686,3911 . The biggest common factor number is the GCF number.
So the greatest common factor 9686,3911 is 1.
Lets's calculate LCM of 422,353
Given numbers has no common factors except 1. So, there LCM is their product i.e 148966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148966
Therefore, the GCF of Fractions 9686/422,3911/353 is 1/148966
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 422,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,353) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,353) x common factors =1 x 1 = 1
LCM(422,353) = ( 422 × 353 ) / 1
LCM(422,353) = 148966 / 1
LCM(422,353) = 148966
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 9686/422, 3911/353?
Answer: GCF of Numerators as per given numbers 9686/422, 3911/353 is
GCF of Numerators i.e. for 9686,3911 is 1
LCM of denominators i.e. for 422,353 is 148966.
Thus, GCF of Fractions is 1/148966.Finally, GCF of Fractions for 9686/422, 3911/353 is 1/148966.