Use our free GCF of Fractions Calculator tool to compute the GCF of 9136/904, 3106/916 i.e 2/207016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9136/904, 3106/916.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9136/904,3106/916
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 9136/904,3106/916, numerators are 9136,3106
Denominators are 904,916
The GCF of 9136,3106 is 2 .
LCM of 904,916 is 207016.
The greatest common factor of 9136/904,3106/916 = [GCF of 9136,3106]/[LCM of 904,916]= 2/207016
Therefore, the GCF of 9136/904,3106/916 is 2/207016.
To find the highest common factor of 9136,3106, we have to find the factors of both numbers and list the highest common factor.
The factors of 9136 are 1, 2, 4, 8, 16, 571, 1142, 2284, 4568, 9136
The factors of 3106 are 1, 2, 1553, 3106
The HCF of 9136,3106 is 2.
Lets's calculate GCF of 9136,3106
2 | 9136, 3106 |
4568, 1553 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 9136
:1,2,4,8,16,571,1142,2284,4568,9136
Now, list down the factors of 3106
:1,2,1553,3106
Greatest Common Factor
We found the factors 9136,3106 . The biggest common factor number is the GCF number.
So the greatest common factor 9136,3106 is 2.
Lets's calculate LCM of 904,916
2 | 904, 916 |
2 | 452, 458 |
226, 229 |
∴ So the LCM of the given numbers is 2 x 2 x 226 x 229 = 207016
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/207016
Therefore, the GCF of Fractions 9136/904,3106/916 is 2/207016
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 904,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,916) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(904,916) x common factors =4 x 1 = 4
LCM(904,916) = ( 904 × 916 ) / 4
LCM(904,916) = 828064 / 4
LCM(904,916) = 207016
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9136,3106?
The HCF of 9136,3106 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 9136/904, 3106/916?
Answer: GCF of Numerators as per given numbers 9136/904, 3106/916 is
GCF of Numerators i.e. for 9136,3106 is 2
LCM of denominators i.e. for 904,916 is 207016.
Thus, GCF of Fractions is 2/207016.Finally, GCF of Fractions for 9136/904, 3106/916 is 2/207016.