Use our free GCF of Fractions Calculator tool to compute the GCF of 8073/522, 1275/8841 i.e 3/1538334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8073/522, 1275/8841.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8073/522,1275/8841
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 8073/522,1275/8841, numerators are 8073,1275
Denominators are 522,8841
The GCF of 8073,1275 is 3 .
LCM of 522,8841 is 1538334.
The greatest common factor of 8073/522,1275/8841 = [GCF of 8073,1275]/[LCM of 522,8841]= 3/1538334
Therefore, the GCF of 8073/522,1275/8841 is 3/1538334.
To find the highest common factor of 8073,1275, we have to find the factors of both numbers and list the highest common factor.
The factors of 8073 are 1, 3, 9, 13, 23, 27, 39, 69, 117, 207, 299, 351, 621, 897, 2691, 8073
The factors of 1275 are 1, 3, 5, 15, 17, 25, 51, 75, 85, 255, 425, 1275
The HCF of 8073,1275 is 3.
Lets's calculate GCF of 8073,1275
3 | 8073, 1275 |
2691, 425 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 8073
:1,3,9,13,23,27,39,69,117,207,299,351,621,897,2691,8073
Now, list down the factors of 1275
:1,3,5,15,17,25,51,75,85,255,425,1275
Greatest Common Factor
We found the factors 8073,1275 . The biggest common factor number is the GCF number.
So the greatest common factor 8073,1275 is 3.
Lets's calculate LCM of 522,8841
3 | 522, 8841 |
174, 2947 |
∴ So the LCM of the given numbers is 3 x 174 x 2947 = 1538334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1538334
Therefore, the GCF of Fractions 8073/522,1275/8841 is 3/1538334
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 522,8841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,8841) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(522,8841) x common factors =3 x 1 = 3
LCM(522,8841) = ( 522 × 8841 ) / 3
LCM(522,8841) = 4615002 / 3
LCM(522,8841) = 1538334
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8073,1275?
The HCF of 8073,1275 is 3
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 8073/522, 1275/8841?
Answer: GCF of Numerators as per given numbers 8073/522, 1275/8841 is
GCF of Numerators i.e. for 8073,1275 is 3
LCM of denominators i.e. for 522,8841 is 1538334.
Thus, GCF of Fractions is 3/1538334.Finally, GCF of Fractions for 8073/522, 1275/8841 is 3/1538334.