Use our free GCF of Fractions Calculator tool to compute the GCF of 2936/346, 8743/1199 i.e 1/414854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2936/346, 8743/1199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2936/346,8743/1199
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 2936/346,8743/1199, numerators are 2936,8743
Denominators are 346,1199
The GCF of 2936,8743 is 1 .
LCM of 346,1199 is 414854.
The greatest common factor of 2936/346,8743/1199 = [GCF of 2936,8743]/[LCM of 346,1199]= 1/414854
Therefore, the GCF of 2936/346,8743/1199 is 1/414854.
To find the highest common factor of 2936,8743, we have to find the factors of both numbers and list the highest common factor.
The factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936
The factors of 8743 are 1, 7, 1249, 8743
The HCF of 2936,8743 is 1.
Lets's calculate GCF of 2936,8743
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2936
:1,2,4,8,367,734,1468,2936
Now, list down the factors of 8743
:1,7,1249,8743
Greatest Common Factor
We found the factors 2936,8743 . The biggest common factor number is the GCF number.
So the greatest common factor 2936,8743 is 1.
Lets's calculate LCM of 346,1199
Given numbers has no common factors except 1. So, there LCM is their product i.e 414854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414854
Therefore, the GCF of Fractions 2936/346,8743/1199 is 1/414854
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 346,1199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,1199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,1199) x common factors =1 x 1 = 1
LCM(346,1199) = ( 346 × 1199 ) / 1
LCM(346,1199) = 414854 / 1
LCM(346,1199) = 414854
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2936,8743?
The HCF of 2936,8743 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 2936/346, 8743/1199?
Answer: GCF of Numerators as per given numbers 2936/346, 8743/1199 is
GCF of Numerators i.e. for 2936,8743 is 1
LCM of denominators i.e. for 346,1199 is 414854.
Thus, GCF of Fractions is 1/414854.Finally, GCF of Fractions for 2936/346, 8743/1199 is 1/414854.