Use our free GCF of Fractions Calculator tool to compute the GCF of 7455/231, 8768/8484 i.e 1/93324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7455/231, 8768/8484.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7455/231,8768/8484
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 7455/231,8768/8484, numerators are 7455,8768
Denominators are 231,8484
The GCF of 7455,8768 is 1 .
LCM of 231,8484 is 93324.
The greatest common factor of 7455/231,8768/8484 = [GCF of 7455,8768]/[LCM of 231,8484]= 1/93324
Therefore, the GCF of 7455/231,8768/8484 is 1/93324.
To find the highest common factor of 7455,8768, we have to find the factors of both numbers and list the highest common factor.
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The factors of 8768 are 1, 2, 4, 8, 16, 32, 64, 137, 274, 548, 1096, 2192, 4384, 8768
The HCF of 7455,8768 is 1.
Lets's calculate GCF of 7455,8768
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Now, list down the factors of 8768
:1,2,4,8,16,32,64,137,274,548,1096,2192,4384,8768
Greatest Common Factor
We found the factors 7455,8768 . The biggest common factor number is the GCF number.
So the greatest common factor 7455,8768 is 1.
Lets's calculate LCM of 231,8484
3 | 231, 8484 |
7 | 77, 2828 |
11, 404 |
∴ So the LCM of the given numbers is 3 x 7 x 11 x 404 = 93324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93324
Therefore, the GCF of Fractions 7455/231,8768/8484 is 1/93324
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 231,8484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,8484) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(231,8484) x common factors =21 x 1 = 21
LCM(231,8484) = ( 231 × 8484 ) / 21
LCM(231,8484) = 1959804 / 21
LCM(231,8484) = 93324
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7455,8768?
The HCF of 7455,8768 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 7455/231, 8768/8484?
Answer: GCF of Numerators as per given numbers 7455/231, 8768/8484 is
GCF of Numerators i.e. for 7455,8768 is 1
LCM of denominators i.e. for 231,8484 is 93324.
Thus, GCF of Fractions is 1/93324.Finally, GCF of Fractions for 7455/231, 8768/8484 is 1/93324.