GCF of 5579/725, 8060/2509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5579/725, 8060/2509 i.e 1/1819025 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5579/725, 8060/2509.
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 5579/725,8060/2509?
Given fractions are 5579/725,8060/2509
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 5579/725,8060/2509, numerators are 5579,8060
Denominators are 725,2509
The GCF of 5579,8060 is 1 .
LCM of 725,2509 is 1819025.
The greatest common factor of 5579/725,8060/2509 = [GCF of 5579,8060]/[LCM of 725,2509]= 1/1819025
Therefore, the GCF of 5579/725,8060/2509 is 1/1819025.
To find the highest common factor of 5579,8060, we have to find the factors of both numbers and list the highest common factor.
The factors of 5579 are 1, 7, 797, 5579
The factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060
The HCF of 5579,8060 is 1.
Lets's calculate GCF of 5579,8060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5579,8060 By Matching Biggest Common Factor Method
Now, list down the factors of 5579
:1,7,797,5579
Now, list down the factors of 8060
:1,2,4,5,10,13,20,26,31,52,62,65,124,130,155,260,310,403,620,806,1612,2015,4030,8060
Greatest Common Factor
We found the factors 5579,8060 . The biggest common factor number is the GCF number.
So the greatest common factor 5579,8060 is 1.
Lets's calculate LCM of 725,2509
Given numbers has no common factors except 1. So, there LCM is their product i.e 1819025
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1819025
Therefore, the GCF of Fractions 5579/725,8060/2509 is 1/1819025
Least Common Multiple of 725,2509 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 725,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,2509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(725,2509) x common factors =1 x 1 = 1
LCM(725,2509) = ( 725 × 2509 ) / 1
LCM(725,2509) = 1819025 / 1
LCM(725,2509) = 1819025
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FAQs on GCF of Fractions of 5579/725, 8060/2509
1. What is the HCF of 5579,8060?
The HCF of 5579,8060 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 5579/725, 8060/2509?
Answer: GCF of Numerators as per given numbers 5579/725, 8060/2509 is
GCF of Numerators i.e. for 5579,8060 is 1
LCM of denominators i.e. for 725,2509 is 1819025.
Thus, GCF of Fractions is 1/1819025.Finally, GCF of Fractions for 5579/725, 8060/2509 is 1/1819025.