Use our free GCF of Fractions Calculator tool to compute the GCF of 5265/968, 7767/996 i.e 9/241032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5265/968, 7767/996.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5265/968,7767/996
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 5265/968,7767/996, numerators are 5265,7767
Denominators are 968,996
The GCF of 5265,7767 is 9 .
LCM of 968,996 is 241032.
The greatest common factor of 5265/968,7767/996 = [GCF of 5265,7767]/[LCM of 968,996]= 9/241032
Therefore, the GCF of 5265/968,7767/996 is 9/241032.
To find the highest common factor of 5265,7767, we have to find the factors of both numbers and list the highest common factor.
The factors of 5265 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 81, 117, 135, 195, 351, 405, 585, 1053, 1755, 5265
The factors of 7767 are 1, 3, 9, 863, 2589, 7767
The HCF of 5265,7767 is 9.
Lets's calculate GCF of 5265,7767
3 | 5265, 7767 |
3 | 1755, 2589 |
585, 863 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Now, list down the factors of 5265
:1,3,5,9,13,15,27,39,45,65,81,117,135,195,351,405,585,1053,1755,5265
Now, list down the factors of 7767
:1,3,9,863,2589,7767
Greatest Common Factor
We found the factors 5265,7767 . The biggest common factor number is the GCF number.
So the greatest common factor 5265,7767 is 9.
Lets's calculate LCM of 968,996
2 | 968, 996 |
2 | 484, 498 |
242, 249 |
∴ So the LCM of the given numbers is 2 x 2 x 242 x 249 = 241032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/241032
Therefore, the GCF of Fractions 5265/968,7767/996 is 9/241032
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 968,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,996) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(968,996) x common factors =4 x 1 = 4
LCM(968,996) = ( 968 × 996 ) / 4
LCM(968,996) = 964128 / 4
LCM(968,996) = 241032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5265,7767?
The HCF of 5265,7767 is 9
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 5265/968, 7767/996?
Answer: GCF of Numerators as per given numbers 5265/968, 7767/996 is
GCF of Numerators i.e. for 5265,7767 is 9
LCM of denominators i.e. for 968,996 is 241032.
Thus, GCF of Fractions is 9/241032.Finally, GCF of Fractions for 5265/968, 7767/996 is 9/241032.