Use our free GCF of Fractions Calculator tool to compute the GCF of 9104/494, 5359/3631 i.e 1/1793714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9104/494, 5359/3631.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9104/494,5359/3631
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 9104/494,5359/3631, numerators are 9104,5359
Denominators are 494,3631
The GCF of 9104,5359 is 1 .
LCM of 494,3631 is 1793714.
The greatest common factor of 9104/494,5359/3631 = [GCF of 9104,5359]/[LCM of 494,3631]= 1/1793714
Therefore, the GCF of 9104/494,5359/3631 is 1/1793714.
To find the highest common factor of 9104,5359, we have to find the factors of both numbers and list the highest common factor.
The factors of 9104 are 1, 2, 4, 8, 16, 569, 1138, 2276, 4552, 9104
The factors of 5359 are 1, 23, 233, 5359
The HCF of 9104,5359 is 1.
Lets's calculate GCF of 9104,5359
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 9104
:1,2,4,8,16,569,1138,2276,4552,9104
Now, list down the factors of 5359
:1,23,233,5359
Greatest Common Factor
We found the factors 9104,5359 . The biggest common factor number is the GCF number.
So the greatest common factor 9104,5359 is 1.
Lets's calculate LCM of 494,3631
Given numbers has no common factors except 1. So, there LCM is their product i.e 1793714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1793714
Therefore, the GCF of Fractions 9104/494,5359/3631 is 1/1793714
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 494,3631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,3631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(494,3631) x common factors =1 x 1 = 1
LCM(494,3631) = ( 494 × 3631 ) / 1
LCM(494,3631) = 1793714 / 1
LCM(494,3631) = 1793714
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9104,5359?
The HCF of 9104,5359 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 9104/494, 5359/3631?
Answer: GCF of Numerators as per given numbers 9104/494, 5359/3631 is
GCF of Numerators i.e. for 9104,5359 is 1
LCM of denominators i.e. for 494,3631 is 1793714.
Thus, GCF of Fractions is 1/1793714.Finally, GCF of Fractions for 9104/494, 5359/3631 is 1/1793714.