GCF of 8611/576, 5125/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8611/576, 5125/269 i.e 1/154944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8611/576, 5125/269.
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 8611/576,5125/269?
Given fractions are 8611/576,5125/269
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 8611/576,5125/269, numerators are 8611,5125
Denominators are 576,269
The GCF of 8611,5125 is 1 .
LCM of 576,269 is 154944.
The greatest common factor of 8611/576,5125/269 = [GCF of 8611,5125]/[LCM of 576,269]= 1/154944
Therefore, the GCF of 8611/576,5125/269 is 1/154944.
To find the highest common factor of 8611,5125, we have to find the factors of both numbers and list the highest common factor.
The factors of 8611 are 1, 79, 109, 8611
The factors of 5125 are 1, 5, 25, 41, 125, 205, 1025, 5125
The HCF of 8611,5125 is 1.
Lets's calculate GCF of 8611,5125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8611,5125 By Matching Biggest Common Factor Method
Now, list down the factors of 8611
:1,79,109,8611
Now, list down the factors of 5125
:1,5,25,41,125,205,1025,5125
Greatest Common Factor
We found the factors 8611,5125 . The biggest common factor number is the GCF number.
So the greatest common factor 8611,5125 is 1.
Lets's calculate LCM of 576,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 154944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154944
Therefore, the GCF of Fractions 8611/576,5125/269 is 1/154944
Least Common Multiple of 576,269 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 576,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,269) x common factors =1 x 1 = 1
LCM(576,269) = ( 576 × 269 ) / 1
LCM(576,269) = 154944 / 1
LCM(576,269) = 154944
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FAQs on GCF of Fractions of 8611/576, 5125/269
1. What is the HCF of 8611,5125?
The HCF of 8611,5125 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 8611/576, 5125/269?
Answer: GCF of Numerators as per given numbers 8611/576, 5125/269 is
GCF of Numerators i.e. for 8611,5125 is 1
LCM of denominators i.e. for 576,269 is 154944.
Thus, GCF of Fractions is 1/154944.Finally, GCF of Fractions for 8611/576, 5125/269 is 1/154944.