GCF of 5079/201, 6045/8304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5079/201, 6045/8304 i.e 3/556368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5079/201, 6045/8304.
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 5079/201,6045/8304?
Given fractions are 5079/201,6045/8304
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 5079/201,6045/8304, numerators are 5079,6045
Denominators are 201,8304
The GCF of 5079,6045 is 3 .
LCM of 201,8304 is 556368.
The greatest common factor of 5079/201,6045/8304 = [GCF of 5079,6045]/[LCM of 201,8304]= 3/556368
Therefore, the GCF of 5079/201,6045/8304 is 3/556368.
To find the highest common factor of 5079,6045, we have to find the factors of both numbers and list the highest common factor.
The factors of 5079 are 1, 3, 1693, 5079
The factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
The HCF of 5079,6045 is 3.
Lets's calculate GCF of 5079,6045
| 3 | 5079, 6045 |
| 1693, 2015 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5079,6045 By Matching Biggest Common Factor Method
Now, list down the factors of 5079
:1,3,1693,5079
Now, list down the factors of 6045
:1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045
Greatest Common Factor
We found the factors 5079,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 5079,6045 is 3.
Lets's calculate LCM of 201,8304
| 3 | 201, 8304 |
| 67, 2768 |
∴ So the LCM of the given numbers is 3 x 67 x 2768 = 556368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/556368
Therefore, the GCF of Fractions 5079/201,6045/8304 is 3/556368
Least Common Multiple of 201,8304 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 201,8304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(201,8304) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(201,8304) x common factors =3 x 1 = 3
LCM(201,8304) = ( 201 × 8304 ) / 3
LCM(201,8304) = 1669104 / 3
LCM(201,8304) = 556368
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5079/201, 6045/8304
1. What is the HCF of 5079,6045?
The HCF of 5079,6045 is 3
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 5079/201, 6045/8304?
Answer: GCF of Numerators as per given numbers 5079/201, 6045/8304 is
GCF of Numerators i.e. for 5079,6045 is 3
LCM of denominators i.e. for 201,8304 is 556368.
Thus, GCF of Fractions is 3/556368.Finally, GCF of Fractions for 5079/201, 6045/8304 is 3/556368.