GCF of 515/173, 3678/529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 515/173, 3678/529 i.e 1/91517 easily. The following is the detailed procedure to determine the greatest common factor of fractions 515/173, 3678/529.
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 515/173,3678/529?
Given fractions are 515/173,3678/529
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 515/173,3678/529, numerators are 515,3678
Denominators are 173,529
The GCF of 515,3678 is 1 .
LCM of 173,529 is 91517.
The greatest common factor of 515/173,3678/529 = [GCF of 515,3678]/[LCM of 173,529]= 1/91517
Therefore, the GCF of 515/173,3678/529 is 1/91517.
To find the highest common factor of 515,3678, we have to find the factors of both numbers and list the highest common factor.
The factors of 515 are 1, 5, 103, 515
The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678
The HCF of 515,3678 is 1.
Lets's calculate GCF of 515,3678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 515,3678 By Matching Biggest Common Factor Method
Now, list down the factors of 515
:1,5,103,515
Now, list down the factors of 3678
:1,2,3,6,613,1226,1839,3678
Greatest Common Factor
We found the factors 515,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 515,3678 is 1.
Lets's calculate LCM of 173,529
Given numbers has no common factors except 1. So, there LCM is their product i.e 91517
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91517
Therefore, the GCF of Fractions 515/173,3678/529 is 1/91517
Least Common Multiple of 173,529 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 173,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,529) x common factors =1 x 1 = 1
LCM(173,529) = ( 173 × 529 ) / 1
LCM(173,529) = 91517 / 1
LCM(173,529) = 91517
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FAQs on GCF of Fractions of 515/173, 3678/529
1. What is the HCF of 515,3678?
The HCF of 515,3678 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 515/173, 3678/529?
Answer: GCF of Numerators as per given numbers 515/173, 3678/529 is
GCF of Numerators i.e. for 515,3678 is 1
LCM of denominators i.e. for 173,529 is 91517.
Thus, GCF of Fractions is 1/91517.Finally, GCF of Fractions for 515/173, 3678/529 is 1/91517.