GCF of 8096/663, 4163/3127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8096/663, 4163/3127 i.e 23/2073201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8096/663, 4163/3127.
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 8096/663,4163/3127?
Given fractions are 8096/663,4163/3127
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 8096/663,4163/3127, numerators are 8096,4163
Denominators are 663,3127
The GCF of 8096,4163 is 23 .
LCM of 663,3127 is 2073201.
The greatest common factor of 8096/663,4163/3127 = [GCF of 8096,4163]/[LCM of 663,3127]= 23/2073201
Therefore, the GCF of 8096/663,4163/3127 is 23/2073201.
To find the highest common factor of 8096,4163, we have to find the factors of both numbers and list the highest common factor.
The factors of 8096 are 1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 88, 92, 176, 184, 253, 352, 368, 506, 736, 1012, 2024, 4048, 8096
The factors of 4163 are 1, 23, 181, 4163
The HCF of 8096,4163 is 23.
Lets's calculate GCF of 8096,4163
| 23 | 8096, 4163 |
| 352, 181 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 8096,4163 By Matching Biggest Common Factor Method
Now, list down the factors of 8096
:1,2,4,8,11,16,22,23,32,44,46,88,92,176,184,253,352,368,506,736,1012,2024,4048,8096
Now, list down the factors of 4163
:1,23,181,4163
Greatest Common Factor
We found the factors 8096,4163 . The biggest common factor number is the GCF number.
So the greatest common factor 8096,4163 is 23.
Lets's calculate LCM of 663,3127
Given numbers has no common factors except 1. So, there LCM is their product i.e 2073201
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/2073201
Therefore, the GCF of Fractions 8096/663,4163/3127 is 23/2073201
Least Common Multiple of 663,3127 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 663,3127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,3127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(663,3127) x common factors =1 x 1 = 1
LCM(663,3127) = ( 663 × 3127 ) / 1
LCM(663,3127) = 2073201 / 1
LCM(663,3127) = 2073201
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FAQs on GCF of Fractions of 8096/663, 4163/3127
1. What is the HCF of 8096,4163?
The HCF of 8096,4163 is 23
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 8096/663, 4163/3127?
Answer: GCF of Numerators as per given numbers 8096/663, 4163/3127 is
GCF of Numerators i.e. for 8096,4163 is 23
LCM of denominators i.e. for 663,3127 is 2073201.
Thus, GCF of Fractions is 23/2073201.Finally, GCF of Fractions for 8096/663, 4163/3127 is 23/2073201.