GCF of 529/72, 577/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 529/72, 577/269 i.e 1/19368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 529/72, 577/269.
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 529/72,577/269?
Given fractions are 529/72,577/269
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 529/72,577/269, numerators are 529,577
Denominators are 72,269
The GCF of 529,577 is 1 .
LCM of 72,269 is 19368.
The greatest common factor of 529/72,577/269 = [GCF of 529,577]/[LCM of 72,269]= 1/19368
Therefore, the GCF of 529/72,577/269 is 1/19368.
To find the highest common factor of 529,577, we have to find the factors of both numbers and list the highest common factor.
The factors of 529 are 1, 23, 529
The factors of 577 are 1, 577
The HCF of 529,577 is 1.
Lets's calculate GCF of 529,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 529,577 By Matching Biggest Common Factor Method
Now, list down the factors of 529
:1,23,529
Now, list down the factors of 577
:1,577
Greatest Common Factor
We found the factors 529,577 . The biggest common factor number is the GCF number.
So the greatest common factor 529,577 is 1.
Lets's calculate LCM of 72,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 19368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19368
Therefore, the GCF of Fractions 529/72,577/269 is 1/19368
Least Common Multiple of 72,269 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 72,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,269) x common factors =1 x 1 = 1
LCM(72,269) = ( 72 × 269 ) / 1
LCM(72,269) = 19368 / 1
LCM(72,269) = 19368
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 529/72, 577/269
1. What is the HCF of 529,577?
The HCF of 529,577 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 529/72, 577/269?
Answer: GCF of Numerators as per given numbers 529/72, 577/269 is
GCF of Numerators i.e. for 529,577 is 1
LCM of denominators i.e. for 72,269 is 19368.
Thus, GCF of Fractions is 1/19368.Finally, GCF of Fractions for 529/72, 577/269 is 1/19368.