Use our free GCF of Fractions Calculator tool to compute the GCF of 9491/107, 1928/1592 i.e 1/170344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9491/107, 1928/1592.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9491/107,1928/1592
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 9491/107,1928/1592, numerators are 9491,1928
Denominators are 107,1592
The GCF of 9491,1928 is 1 .
LCM of 107,1592 is 170344.
The greatest common factor of 9491/107,1928/1592 = [GCF of 9491,1928]/[LCM of 107,1592]= 1/170344
Therefore, the GCF of 9491/107,1928/1592 is 1/170344.
To find the highest common factor of 9491,1928, we have to find the factors of both numbers and list the highest common factor.
The factors of 9491 are 1, 9491
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The HCF of 9491,1928 is 1.
Lets's calculate GCF of 9491,1928
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9491
:1,9491
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Greatest Common Factor
We found the factors 9491,1928 . The biggest common factor number is the GCF number.
So the greatest common factor 9491,1928 is 1.
Lets's calculate LCM of 107,1592
Given numbers has no common factors except 1. So, there LCM is their product i.e 170344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/170344
Therefore, the GCF of Fractions 9491/107,1928/1592 is 1/170344
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 107,1592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,1592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,1592) x common factors =1 x 1 = 1
LCM(107,1592) = ( 107 × 1592 ) / 1
LCM(107,1592) = 170344 / 1
LCM(107,1592) = 170344
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9491,1928?
The HCF of 9491,1928 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 9491/107, 1928/1592?
Answer: GCF of Numerators as per given numbers 9491/107, 1928/1592 is
GCF of Numerators i.e. for 9491,1928 is 1
LCM of denominators i.e. for 107,1592 is 170344.
Thus, GCF of Fractions is 1/170344.Finally, GCF of Fractions for 9491/107, 1928/1592 is 1/170344.