Use our free GCF of Fractions Calculator tool to compute the GCF of 9161/578, 1830/8928 i.e 1/2580192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9161/578, 1830/8928.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9161/578,1830/8928
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 9161/578,1830/8928, numerators are 9161,1830
Denominators are 578,8928
The GCF of 9161,1830 is 1 .
LCM of 578,8928 is 2580192.
The greatest common factor of 9161/578,1830/8928 = [GCF of 9161,1830]/[LCM of 578,8928]= 1/2580192
Therefore, the GCF of 9161/578,1830/8928 is 1/2580192.
To find the highest common factor of 9161,1830, we have to find the factors of both numbers and list the highest common factor.
The factors of 9161 are 1, 9161
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The HCF of 9161,1830 is 1.
Lets's calculate GCF of 9161,1830
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9161
:1,9161
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors 9161,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 9161,1830 is 1.
Lets's calculate LCM of 578,8928
2 | 578, 8928 |
289, 4464 |
∴ So the LCM of the given numbers is 2 x 289 x 4464 = 2580192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2580192
Therefore, the GCF of Fractions 9161/578,1830/8928 is 1/2580192
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 578,8928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,8928) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(578,8928) x common factors =2 x 1 = 2
LCM(578,8928) = ( 578 × 8928 ) / 2
LCM(578,8928) = 5160384 / 2
LCM(578,8928) = 2580192
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9161,1830?
The HCF of 9161,1830 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 9161/578, 1830/8928?
Answer: GCF of Numerators as per given numbers 9161/578, 1830/8928 is
GCF of Numerators i.e. for 9161,1830 is 1
LCM of denominators i.e. for 578,8928 is 2580192.
Thus, GCF of Fractions is 1/2580192.Finally, GCF of Fractions for 9161/578, 1830/8928 is 1/2580192.