GCF of 581/258, 8549/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 581/258, 8549/921 i.e 83/79206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 581/258, 8549/921.
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 581/258,8549/921?
Given fractions are 581/258,8549/921
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 581/258,8549/921, numerators are 581,8549
Denominators are 258,921
The GCF of 581,8549 is 83 .
LCM of 258,921 is 79206.
The greatest common factor of 581/258,8549/921 = [GCF of 581,8549]/[LCM of 258,921]= 83/79206
Therefore, the GCF of 581/258,8549/921 is 83/79206.
To find the highest common factor of 581,8549, we have to find the factors of both numbers and list the highest common factor.
The factors of 581 are 1, 7, 83, 581
The factors of 8549 are 1, 83, 103, 8549
The HCF of 581,8549 is 83.
Lets's calculate GCF of 581,8549
| 83 | 581, 8549 |
| 7, 103 |
∴ So the GCF of the given numbers is 83 = 83
Greatest Common Factor of 581,8549 By Matching Biggest Common Factor Method
Now, list down the factors of 581
:1,7,83,581
Now, list down the factors of 8549
:1,83,103,8549
Greatest Common Factor
We found the factors 581,8549 . The biggest common factor number is the GCF number.
So the greatest common factor 581,8549 is 83.
Lets's calculate LCM of 258,921
| 3 | 258, 921 |
| 86, 307 |
∴ So the LCM of the given numbers is 3 x 86 x 307 = 79206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 83/79206
Therefore, the GCF of Fractions 581/258,8549/921 is 83/79206
Least Common Multiple of 258,921 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 258,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,921) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(258,921) x common factors =3 x 1 = 3
LCM(258,921) = ( 258 × 921 ) / 3
LCM(258,921) = 237618 / 3
LCM(258,921) = 79206
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FAQs on GCF of Fractions of 581/258, 8549/921
1. What is the HCF of 581,8549?
The HCF of 581,8549 is 83
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 581/258, 8549/921?
Answer: GCF of Numerators as per given numbers 581/258, 8549/921 is
GCF of Numerators i.e. for 581,8549 is 83
LCM of denominators i.e. for 258,921 is 79206.
Thus, GCF of Fractions is 83/79206.Finally, GCF of Fractions for 581/258, 8549/921 is 83/79206.