GCF of 8128/150, 9165/2268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8128/150, 9165/2268 i.e 1/56700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8128/150, 9165/2268.
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 8128/150,9165/2268?
Given fractions are 8128/150,9165/2268
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 8128/150,9165/2268, numerators are 8128,9165
Denominators are 150,2268
The GCF of 8128,9165 is 1 .
LCM of 150,2268 is 56700.
The greatest common factor of 8128/150,9165/2268 = [GCF of 8128,9165]/[LCM of 150,2268]= 1/56700
Therefore, the GCF of 8128/150,9165/2268 is 1/56700.
To find the highest common factor of 8128,9165, we have to find the factors of both numbers and list the highest common factor.
The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128
The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165
The HCF of 8128,9165 is 1.
Lets's calculate GCF of 8128,9165
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8128,9165 By Matching Biggest Common Factor Method
Now, list down the factors of 8128
:1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128
Now, list down the factors of 9165
:1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165
Greatest Common Factor
We found the factors 8128,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 8128,9165 is 1.
Lets's calculate LCM of 150,2268
| 2 | 150, 2268 |
| 3 | 75, 1134 |
| 25, 378 |
∴ So the LCM of the given numbers is 2 x 3 x 25 x 378 = 56700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56700
Therefore, the GCF of Fractions 8128/150,9165/2268 is 1/56700
Least Common Multiple of 150,2268 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 150,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,2268) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(150,2268) x common factors =6 x 1 = 6
LCM(150,2268) = ( 150 × 2268 ) / 6
LCM(150,2268) = 340200 / 6
LCM(150,2268) = 56700
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8128/150, 9165/2268
1. What is the HCF of 8128,9165?
The HCF of 8128,9165 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 8128/150, 9165/2268?
Answer: GCF of Numerators as per given numbers 8128/150, 9165/2268 is
GCF of Numerators i.e. for 8128,9165 is 1
LCM of denominators i.e. for 150,2268 is 56700.
Thus, GCF of Fractions is 1/56700.Finally, GCF of Fractions for 8128/150, 9165/2268 is 1/56700.