Use our free GCF of Fractions Calculator tool to compute the GCF of 7337/764, 6873/2810 i.e 29/1073420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7337/764, 6873/2810.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7337/764,6873/2810
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 7337/764,6873/2810, numerators are 7337,6873
Denominators are 764,2810
The GCF of 7337,6873 is 29 .
LCM of 764,2810 is 1073420.
The greatest common factor of 7337/764,6873/2810 = [GCF of 7337,6873]/[LCM of 764,2810]= 29/1073420
Therefore, the GCF of 7337/764,6873/2810 is 29/1073420.
To find the highest common factor of 7337,6873, we have to find the factors of both numbers and list the highest common factor.
The factors of 7337 are 1, 11, 23, 29, 253, 319, 667, 7337
The factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873
The HCF of 7337,6873 is 29.
Lets's calculate GCF of 7337,6873
29 | 7337, 6873 |
253, 237 |
∴ So the GCF of the given numbers is 29 = 29
Now, list down the factors of 7337
:1,11,23,29,253,319,667,7337
Now, list down the factors of 6873
:1,3,29,79,87,237,2291,6873
Greatest Common Factor
We found the factors 7337,6873 . The biggest common factor number is the GCF number.
So the greatest common factor 7337,6873 is 29.
Lets's calculate LCM of 764,2810
2 | 764, 2810 |
382, 1405 |
∴ So the LCM of the given numbers is 2 x 382 x 1405 = 1073420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1073420
Therefore, the GCF of Fractions 7337/764,6873/2810 is 29/1073420
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 764,2810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,2810) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(764,2810) x common factors =2 x 1 = 2
LCM(764,2810) = ( 764 × 2810 ) / 2
LCM(764,2810) = 2146840 / 2
LCM(764,2810) = 1073420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7337,6873?
The HCF of 7337,6873 is 29
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 7337/764, 6873/2810?
Answer: GCF of Numerators as per given numbers 7337/764, 6873/2810 is
GCF of Numerators i.e. for 7337,6873 is 29
LCM of denominators i.e. for 764,2810 is 1073420.
Thus, GCF of Fractions is 29/1073420.Finally, GCF of Fractions for 7337/764, 6873/2810 is 29/1073420.