GCF of 519/582, 2565/1086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 519/582, 2565/1086 i.e 3/105342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 519/582, 2565/1086.
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 519/582,2565/1086?
Given fractions are 519/582,2565/1086
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 519/582,2565/1086, numerators are 519,2565
Denominators are 582,1086
The GCF of 519,2565 is 3 .
LCM of 582,1086 is 105342.
The greatest common factor of 519/582,2565/1086 = [GCF of 519,2565]/[LCM of 582,1086]= 3/105342
Therefore, the GCF of 519/582,2565/1086 is 3/105342.
To find the highest common factor of 519,2565, we have to find the factors of both numbers and list the highest common factor.
The factors of 519 are 1, 3, 173, 519
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The HCF of 519,2565 is 3.
Lets's calculate GCF of 519,2565
| 3 | 519, 2565 |
| 173, 855 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 519,2565 By Matching Biggest Common Factor Method
Now, list down the factors of 519
:1,3,173,519
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Greatest Common Factor
We found the factors 519,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 519,2565 is 3.
Lets's calculate LCM of 582,1086
| 2 | 582, 1086 |
| 3 | 291, 543 |
| 97, 181 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 181 = 105342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/105342
Therefore, the GCF of Fractions 519/582,2565/1086 is 3/105342
Least Common Multiple of 582,1086 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 582,1086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,1086) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,1086) x common factors =6 x 1 = 6
LCM(582,1086) = ( 582 × 1086 ) / 6
LCM(582,1086) = 632052 / 6
LCM(582,1086) = 105342
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FAQs on GCF of Fractions of 519/582, 2565/1086
1. What is the HCF of 519,2565?
The HCF of 519,2565 is 3
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 519/582, 2565/1086?
Answer: GCF of Numerators as per given numbers 519/582, 2565/1086 is
GCF of Numerators i.e. for 519,2565 is 3
LCM of denominators i.e. for 582,1086 is 105342.
Thus, GCF of Fractions is 3/105342.Finally, GCF of Fractions for 519/582, 2565/1086 is 3/105342.