GCF of 7315/241, 8118/9468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7315/241, 8118/9468 i.e 11/2281788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7315/241, 8118/9468.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7315/241,8118/9468?
Given fractions are 7315/241,8118/9468
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 7315/241,8118/9468, numerators are 7315,8118
Denominators are 241,9468
The GCF of 7315,8118 is 11 .
LCM of 241,9468 is 2281788.
The greatest common factor of 7315/241,8118/9468 = [GCF of 7315,8118]/[LCM of 241,9468]= 11/2281788
Therefore, the GCF of 7315/241,8118/9468 is 11/2281788.
To find the highest common factor of 7315,8118, we have to find the factors of both numbers and list the highest common factor.
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The factors of 8118 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 41, 66, 82, 99, 123, 198, 246, 369, 451, 738, 902, 1353, 2706, 4059, 8118
The HCF of 7315,8118 is 11.
Lets's calculate GCF of 7315,8118
| 11 | 7315, 8118 |
| 665, 738 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7315,8118 By Matching Biggest Common Factor Method
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Now, list down the factors of 8118
:1,2,3,6,9,11,18,22,33,41,66,82,99,123,198,246,369,451,738,902,1353,2706,4059,8118
Greatest Common Factor
We found the factors 7315,8118 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,8118 is 11.
Lets's calculate LCM of 241,9468
Given numbers has no common factors except 1. So, there LCM is their product i.e 2281788
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2281788
Therefore, the GCF of Fractions 7315/241,8118/9468 is 11/2281788
Least Common Multiple of 241,9468 with GCF Formula
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 241,9468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,9468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,9468) x common factors =1 x 1 = 1
LCM(241,9468) = ( 241 × 9468 ) / 1
LCM(241,9468) = 2281788 / 1
LCM(241,9468) = 2281788
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7315/241, 8118/9468
1. What is the HCF of 7315,8118?
The HCF of 7315,8118 is 11
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 7315/241, 8118/9468?
Answer: GCF of Numerators as per given numbers 7315/241, 8118/9468 is
GCF of Numerators i.e. for 7315,8118 is 11
LCM of denominators i.e. for 241,9468 is 2281788.
Thus, GCF of Fractions is 11/2281788.Finally, GCF of Fractions for 7315/241, 8118/9468 is 11/2281788.