Use our free GCF of Fractions Calculator tool to compute the GCF of 5041/323, 6537/1536 i.e 1/496128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5041/323, 6537/1536.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5041/323,6537/1536
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 5041/323,6537/1536, numerators are 5041,6537
Denominators are 323,1536
The GCF of 5041,6537 is 1 .
LCM of 323,1536 is 496128.
The greatest common factor of 5041/323,6537/1536 = [GCF of 5041,6537]/[LCM of 323,1536]= 1/496128
Therefore, the GCF of 5041/323,6537/1536 is 1/496128.
To find the highest common factor of 5041,6537, we have to find the factors of both numbers and list the highest common factor.
The factors of 5041 are 1, 71, 5041
The factors of 6537 are 1, 3, 2179, 6537
The HCF of 5041,6537 is 1.
Lets's calculate GCF of 5041,6537
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 5041
:1,71,5041
Now, list down the factors of 6537
:1,3,2179,6537
Greatest Common Factor
We found the factors 5041,6537 . The biggest common factor number is the GCF number.
So the greatest common factor 5041,6537 is 1.
Lets's calculate LCM of 323,1536
Given numbers has no common factors except 1. So, there LCM is their product i.e 496128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496128
Therefore, the GCF of Fractions 5041/323,6537/1536 is 1/496128
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 323,1536 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,1536) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,1536) x common factors =1 x 1 = 1
LCM(323,1536) = ( 323 × 1536 ) / 1
LCM(323,1536) = 496128 / 1
LCM(323,1536) = 496128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5041,6537?
The HCF of 5041,6537 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 5041/323, 6537/1536?
Answer: GCF of Numerators as per given numbers 5041/323, 6537/1536 is
GCF of Numerators i.e. for 5041,6537 is 1
LCM of denominators i.e. for 323,1536 is 496128.
Thus, GCF of Fractions is 1/496128.Finally, GCF of Fractions for 5041/323, 6537/1536 is 1/496128.