Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2341/894,5164/8389
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 2341,5164
Greatest Common Factor of Numerators i.e. GCF of 2341,5164 is 1 .
LCM of Denominators means LCM of 894,8389 as per the given fractions.
LCM of 894,8389 is 7499766 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2341,5164
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2341
List of positive integer factors of 2341 that divides 2341 without a remainder.
1,2341
Factors of 5164
List of positive integer factors of 5164 that divides 5164 without a remainder.
1,2,4,1291,2582,5164
Greatest Common Factor
We found the factors 2341,5164 . The biggest common factor number is the GCF number.
So the greatest common factor 2341,5164 is 1.
Lets's calculate LCM of 894,8389
Given numbers has no common factors except 1. So, there LCM is their product i.e 7499766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7499766
Therefore, the GCF of Fractions 2341/894,5164/8389 is 1/7499766
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 894,8389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,8389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(894,8389) x common factors =1 x 1 = 1
LCM(894,8389) = ( 894 × 8389 ) / 1
LCM(894,8389) = 7499766 / 1
LCM(894,8389) = 7499766
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 2341/894, 5164/8389?
Answer: GCF of Numerators as per given numbers 2341/894, 5164/8389 is
GCF of Numerators i.e. for 2341,5164 is 1
LCM of denominators i.e. for 894,8389 is 7499766.
Thus, GCF of Fractions is 1/7499766.Finally, GCF of Fractions for 2341/894, 5164/8389 is 1/7499766.