GCF of 2589/365, 7909/2583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2589/365, 7909/2583 i.e 1/942795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2589/365, 7909/2583.
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 2589/365,7909/2583?
Given fractions are 2589/365,7909/2583
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 2589/365,7909/2583, numerators are 2589,7909
Denominators are 365,2583
The GCF of 2589,7909 is 1 .
LCM of 365,2583 is 942795.
The greatest common factor of 2589/365,7909/2583 = [GCF of 2589,7909]/[LCM of 365,2583]= 1/942795
Therefore, the GCF of 2589/365,7909/2583 is 1/942795.
To find the highest common factor of 2589,7909, we have to find the factors of both numbers and list the highest common factor.
The factors of 2589 are 1, 3, 863, 2589
The factors of 7909 are 1, 11, 719, 7909
The HCF of 2589,7909 is 1.
Lets's calculate GCF of 2589,7909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2589,7909 By Matching Biggest Common Factor Method
Now, list down the factors of 2589
:1,3,863,2589
Now, list down the factors of 7909
:1,11,719,7909
Greatest Common Factor
We found the factors 2589,7909 . The biggest common factor number is the GCF number.
So the greatest common factor 2589,7909 is 1.
Lets's calculate LCM of 365,2583
Given numbers has no common factors except 1. So, there LCM is their product i.e 942795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/942795
Therefore, the GCF of Fractions 2589/365,7909/2583 is 1/942795
Least Common Multiple of 365,2583 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 365,2583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,2583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,2583) x common factors =1 x 1 = 1
LCM(365,2583) = ( 365 × 2583 ) / 1
LCM(365,2583) = 942795 / 1
LCM(365,2583) = 942795
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FAQs on GCF of Fractions of 2589/365, 7909/2583
1. What is the HCF of 2589,7909?
The HCF of 2589,7909 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 2589/365, 7909/2583?
Answer: GCF of Numerators as per given numbers 2589/365, 7909/2583 is
GCF of Numerators i.e. for 2589,7909 is 1
LCM of denominators i.e. for 365,2583 is 942795.
Thus, GCF of Fractions is 1/942795.Finally, GCF of Fractions for 2589/365, 7909/2583 is 1/942795.