GCF of 5063/404, 4067/8061
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5063/404, 4067/8061 i.e 83/3256644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5063/404, 4067/8061.
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 5063/404,4067/8061?
Given fractions are 5063/404,4067/8061
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 5063/404,4067/8061, numerators are 5063,4067
Denominators are 404,8061
The GCF of 5063,4067 is 83 .
LCM of 404,8061 is 3256644.
The greatest common factor of 5063/404,4067/8061 = [GCF of 5063,4067]/[LCM of 404,8061]= 83/3256644
Therefore, the GCF of 5063/404,4067/8061 is 83/3256644.
To find the highest common factor of 5063,4067, we have to find the factors of both numbers and list the highest common factor.
The factors of 5063 are 1, 61, 83, 5063
The factors of 4067 are 1, 7, 49, 83, 581, 4067
The HCF of 5063,4067 is 83.
Lets's calculate GCF of 5063,4067
| 83 | 5063, 4067 |
| 61, 49 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 5063,4067 By Matching Biggest Common Factor Method
Now, list down the factors of 5063
:1,61,83,5063
Now, list down the factors of 4067
:1,7,49,83,581,4067
Greatest Common Factor
We found the factors 5063,4067 . The biggest common factor number is the GCF number.
So the greatest common factor 5063,4067 is 83.
Lets's calculate LCM of 404,8061
Given numbers has no common factors except 1. So, there LCM is their product i.e 3256644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/3256644
Therefore, the GCF of Fractions 5063/404,4067/8061 is 83/3256644
Least Common Multiple of 404,8061 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 404,8061 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,8061) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,8061) x common factors =1 x 1 = 1
LCM(404,8061) = ( 404 × 8061 ) / 1
LCM(404,8061) = 3256644 / 1
LCM(404,8061) = 3256644
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5063/404, 4067/8061
1. What is the HCF of 5063,4067?
The HCF of 5063,4067 is 83
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 5063/404, 4067/8061?
Answer: GCF of Numerators as per given numbers 5063/404, 4067/8061 is
GCF of Numerators i.e. for 5063,4067 is 83
LCM of denominators i.e. for 404,8061 is 3256644.
Thus, GCF of Fractions is 83/3256644.Finally, GCF of Fractions for 5063/404, 4067/8061 is 83/3256644.