GCF of 664/340, 2509/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 664/340, 2509/269 i.e 1/91460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 664/340, 2509/269.
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 664/340,2509/269?
Given fractions are 664/340,2509/269
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 664/340,2509/269, numerators are 664,2509
Denominators are 340,269
The GCF of 664,2509 is 1 .
LCM of 340,269 is 91460.
The greatest common factor of 664/340,2509/269 = [GCF of 664,2509]/[LCM of 340,269]= 1/91460
Therefore, the GCF of 664/340,2509/269 is 1/91460.
To find the highest common factor of 664,2509, we have to find the factors of both numbers and list the highest common factor.
The factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664
The factors of 2509 are 1, 13, 193, 2509
The HCF of 664,2509 is 1.
Lets's calculate GCF of 664,2509
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 664,2509 By Matching Biggest Common Factor Method
Now, list down the factors of 664
:1,2,4,8,83,166,332,664
Now, list down the factors of 2509
:1,13,193,2509
Greatest Common Factor
We found the factors 664,2509 . The biggest common factor number is the GCF number.
So the greatest common factor 664,2509 is 1.
Lets's calculate LCM of 340,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 91460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91460
Therefore, the GCF of Fractions 664/340,2509/269 is 1/91460
Least Common Multiple of 340,269 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 340,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,269) x common factors =1 x 1 = 1
LCM(340,269) = ( 340 × 269 ) / 1
LCM(340,269) = 91460 / 1
LCM(340,269) = 91460
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FAQs on GCF of Fractions of 664/340, 2509/269
1. What is the HCF of 664,2509?
The HCF of 664,2509 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 664/340, 2509/269?
Answer: GCF of Numerators as per given numbers 664/340, 2509/269 is
GCF of Numerators i.e. for 664,2509 is 1
LCM of denominators i.e. for 340,269 is 91460.
Thus, GCF of Fractions is 1/91460.Finally, GCF of Fractions for 664/340, 2509/269 is 1/91460.