Use our free GCF of Fractions Calculator tool to compute the GCF of 296/606, 8794/2042 i.e 2/618726 easily. The following is the detailed procedure to determine the greatest common factor of fractions 296/606, 8794/2042.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 296/606,8794/2042
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 296/606,8794/2042, numerators are 296,8794
Denominators are 606,2042
The GCF of 296,8794 is 2 .
LCM of 606,2042 is 618726.
The greatest common factor of 296/606,8794/2042 = [GCF of 296,8794]/[LCM of 606,2042]= 2/618726
Therefore, the GCF of 296/606,8794/2042 is 2/618726.
To find the highest common factor of 296,8794, we have to find the factors of both numbers and list the highest common factor.
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The factors of 8794 are 1, 2, 4397, 8794
The HCF of 296,8794 is 2.
Lets's calculate GCF of 296,8794
2 | 296, 8794 |
148, 4397 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Now, list down the factors of 8794
:1,2,4397,8794
Greatest Common Factor
We found the factors 296,8794 . The biggest common factor number is the GCF number.
So the greatest common factor 296,8794 is 2.
Lets's calculate LCM of 606,2042
2 | 606, 2042 |
303, 1021 |
∴ So the LCM of the given numbers is 2 x 303 x 1021 = 618726
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/618726
Therefore, the GCF of Fractions 296/606,8794/2042 is 2/618726
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 606,2042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,2042) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(606,2042) x common factors =2 x 1 = 2
LCM(606,2042) = ( 606 × 2042 ) / 2
LCM(606,2042) = 1237452 / 2
LCM(606,2042) = 618726
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 296,8794?
The HCF of 296,8794 is 2
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 296/606, 8794/2042?
Answer: GCF of Numerators as per given numbers 296/606, 8794/2042 is
GCF of Numerators i.e. for 296,8794 is 2
LCM of denominators i.e. for 606,2042 is 618726.
Thus, GCF of Fractions is 2/618726.Finally, GCF of Fractions for 296/606, 8794/2042 is 2/618726.