Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 986/23,355/8613
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 986,355
Greatest Common Factor of Numerators i.e. GCF of 986,355 is 1 .
LCM of Denominators means LCM of 23,8613 as per the given fractions.
LCM of 23,8613 is 198099 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 986,355
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 986
List of positive integer factors of 986 that divides 986 without a remainder.
1,2,17,29,34,58,493,986
Factors of 355
List of positive integer factors of 355 that divides 355 without a remainder.
1,5,71,355
Greatest Common Factor
We found the factors 986,355 . The biggest common factor number is the GCF number.
So the greatest common factor 986,355 is 1.
Lets's calculate LCM of 23,8613
Given numbers has no common factors except 1. So, there LCM is their product i.e 198099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/198099
Therefore, the GCF of Fractions 986/23,355/8613 is 1/198099
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 23,8613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,8613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,8613) x common factors =1 x 1 = 1
LCM(23,8613) = ( 23 × 8613 ) / 1
LCM(23,8613) = 198099 / 1
LCM(23,8613) = 198099
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 986/23, 355/8613?
Answer: GCF of Numerators as per given numbers 986/23, 355/8613 is
GCF of Numerators i.e. for 986,355 is 1
LCM of denominators i.e. for 23,8613 is 198099.
Thus, GCF of Fractions is 1/198099.Finally, GCF of Fractions for 986/23, 355/8613 is 1/198099.