Use our free GCF of Fractions Calculator tool to compute the GCF of 2322/363, 6569/5004 i.e 1/605484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2322/363, 6569/5004.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2322/363,6569/5004
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 2322/363,6569/5004, numerators are 2322,6569
Denominators are 363,5004
The GCF of 2322,6569 is 1 .
LCM of 363,5004 is 605484.
The greatest common factor of 2322/363,6569/5004 = [GCF of 2322,6569]/[LCM of 363,5004]= 1/605484
Therefore, the GCF of 2322/363,6569/5004 is 1/605484.
To find the highest common factor of 2322,6569, we have to find the factors of both numbers and list the highest common factor.
The factors of 2322 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 86, 129, 258, 387, 774, 1161, 2322
The factors of 6569 are 1, 6569
The HCF of 2322,6569 is 1.
Lets's calculate GCF of 2322,6569
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2322
:1,2,3,6,9,18,27,43,54,86,129,258,387,774,1161,2322
Now, list down the factors of 6569
:1,6569
Greatest Common Factor
We found the factors 2322,6569 . The biggest common factor number is the GCF number.
So the greatest common factor 2322,6569 is 1.
Lets's calculate LCM of 363,5004
3 | 363, 5004 |
121, 1668 |
∴ So the LCM of the given numbers is 3 x 121 x 1668 = 605484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605484
Therefore, the GCF of Fractions 2322/363,6569/5004 is 1/605484
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 363,5004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,5004) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,5004) x common factors =3 x 1 = 3
LCM(363,5004) = ( 363 × 5004 ) / 3
LCM(363,5004) = 1816452 / 3
LCM(363,5004) = 605484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2322,6569?
The HCF of 2322,6569 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 2322/363, 6569/5004?
Answer: GCF of Numerators as per given numbers 2322/363, 6569/5004 is
GCF of Numerators i.e. for 2322,6569 is 1
LCM of denominators i.e. for 363,5004 is 605484.
Thus, GCF of Fractions is 1/605484.Finally, GCF of Fractions for 2322/363, 6569/5004 is 1/605484.