Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3436/787,2941/3613
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 3436,2941
Greatest Common Factor of Numerators i.e. GCF of 3436,2941 is 1 .
LCM of Denominators means LCM of 787,3613 as per the given fractions.
LCM of 787,3613 is 2843431 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3436,2941
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3436
List of positive integer factors of 3436 that divides 3436 without a remainder.
1,2,4,859,1718,3436
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1,17,173,2941
Greatest Common Factor
We found the factors 3436,2941 . The biggest common factor number is the GCF number.
So the greatest common factor 3436,2941 is 1.
Lets's calculate LCM of 787,3613
Given numbers has no common factors except 1. So, there LCM is their product i.e 2843431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2843431
Therefore, the GCF of Fractions 3436/787,2941/3613 is 1/2843431
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 787,3613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,3613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,3613) x common factors =1 x 1 = 1
LCM(787,3613) = ( 787 × 3613 ) / 1
LCM(787,3613) = 2843431 / 1
LCM(787,3613) = 2843431
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 3436/787, 2941/3613?
Answer: GCF of Numerators as per given numbers 3436/787, 2941/3613 is
GCF of Numerators i.e. for 3436,2941 is 1
LCM of denominators i.e. for 787,3613 is 2843431.
Thus, GCF of Fractions is 1/2843431.Finally, GCF of Fractions for 3436/787, 2941/3613 is 1/2843431.