GCF of 8063/468, 8247/2058
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8063/468, 8247/2058 i.e 1/160524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8063/468, 8247/2058.
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 8063/468,8247/2058?
Given fractions are 8063/468,8247/2058
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 8063/468,8247/2058, numerators are 8063,8247
Denominators are 468,2058
The GCF of 8063,8247 is 1 .
LCM of 468,2058 is 160524.
The greatest common factor of 8063/468,8247/2058 = [GCF of 8063,8247]/[LCM of 468,2058]= 1/160524
Therefore, the GCF of 8063/468,8247/2058 is 1/160524.
To find the highest common factor of 8063,8247, we have to find the factors of both numbers and list the highest common factor.
The factors of 8063 are 1, 11, 733, 8063
The factors of 8247 are 1, 3, 2749, 8247
The HCF of 8063,8247 is 1.
Lets's calculate GCF of 8063,8247
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8063,8247 By Matching Biggest Common Factor Method
Now, list down the factors of 8063
:1,11,733,8063
Now, list down the factors of 8247
:1,3,2749,8247
Greatest Common Factor
We found the factors 8063,8247 . The biggest common factor number is the GCF number.
So the greatest common factor 8063,8247 is 1.
Lets's calculate LCM of 468,2058
| 2 | 468, 2058 |
| 3 | 234, 1029 |
| 78, 343 |
∴ So the LCM of the given numbers is 2 x 3 x 78 x 343 = 160524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160524
Therefore, the GCF of Fractions 8063/468,8247/2058 is 1/160524
Least Common Multiple of 468,2058 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 468,2058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,2058) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(468,2058) x common factors =6 x 1 = 6
LCM(468,2058) = ( 468 × 2058 ) / 6
LCM(468,2058) = 963144 / 6
LCM(468,2058) = 160524
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8063/468, 8247/2058
1. What is the HCF of 8063,8247?
The HCF of 8063,8247 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 8063/468, 8247/2058?
Answer: GCF of Numerators as per given numbers 8063/468, 8247/2058 is
GCF of Numerators i.e. for 8063,8247 is 1
LCM of denominators i.e. for 468,2058 is 160524.
Thus, GCF of Fractions is 1/160524.Finally, GCF of Fractions for 8063/468, 8247/2058 is 1/160524.