Use our free GCF of Fractions Calculator tool to compute the GCF of 4844/733, 2588/5137 i.e 4/3765421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4844/733, 2588/5137.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4844/733,2588/5137
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 4844/733,2588/5137, numerators are 4844,2588
Denominators are 733,5137
The GCF of 4844,2588 is 4 .
LCM of 733,5137 is 3765421.
The greatest common factor of 4844/733,2588/5137 = [GCF of 4844,2588]/[LCM of 733,5137]= 4/3765421
Therefore, the GCF of 4844/733,2588/5137 is 4/3765421.
To find the highest common factor of 4844,2588, we have to find the factors of both numbers and list the highest common factor.
The factors of 4844 are 1, 2, 4, 7, 14, 28, 173, 346, 692, 1211, 2422, 4844
The factors of 2588 are 1, 2, 4, 647, 1294, 2588
The HCF of 4844,2588 is 4.
Lets's calculate GCF of 4844,2588
2 | 4844, 2588 |
2 | 2422, 1294 |
1211, 647 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 4844
:1,2,4,7,14,28,173,346,692,1211,2422,4844
Now, list down the factors of 2588
:1,2,4,647,1294,2588
Greatest Common Factor
We found the factors 4844,2588 . The biggest common factor number is the GCF number.
So the greatest common factor 4844,2588 is 4.
Lets's calculate LCM of 733,5137
Given numbers has no common factors except 1. So, there LCM is their product i.e 3765421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3765421
Therefore, the GCF of Fractions 4844/733,2588/5137 is 4/3765421
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 733,5137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(733,5137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(733,5137) x common factors =1 x 1 = 1
LCM(733,5137) = ( 733 × 5137 ) / 1
LCM(733,5137) = 3765421 / 1
LCM(733,5137) = 3765421
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4844,2588?
The HCF of 4844,2588 is 4
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 4844/733, 2588/5137?
Answer: GCF of Numerators as per given numbers 4844/733, 2588/5137 is
GCF of Numerators i.e. for 4844,2588 is 4
LCM of denominators i.e. for 733,5137 is 3765421.
Thus, GCF of Fractions is 4/3765421.Finally, GCF of Fractions for 4844/733, 2588/5137 is 4/3765421.