GCF of 3627/579, 1809/2712
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3627/579, 1809/2712 i.e 9/523416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3627/579, 1809/2712.
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 3627/579,1809/2712?
Given fractions are 3627/579,1809/2712
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 3627/579,1809/2712, numerators are 3627,1809
Denominators are 579,2712
The GCF of 3627,1809 is 9 .
LCM of 579,2712 is 523416.
The greatest common factor of 3627/579,1809/2712 = [GCF of 3627,1809]/[LCM of 579,2712]= 9/523416
Therefore, the GCF of 3627/579,1809/2712 is 9/523416.
To find the highest common factor of 3627,1809, we have to find the factors of both numbers and list the highest common factor.
The factors of 3627 are 1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209, 3627
The factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809
The HCF of 3627,1809 is 9.
Lets's calculate GCF of 3627,1809
| 3 | 3627, 1809 |
| 3 | 1209, 603 |
| 403, 201 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3627,1809 By Matching Biggest Common Factor Method
Now, list down the factors of 3627
:1,3,9,13,31,39,93,117,279,403,1209,3627
Now, list down the factors of 1809
:1,3,9,27,67,201,603,1809
Greatest Common Factor
We found the factors 3627,1809 . The biggest common factor number is the GCF number.
So the greatest common factor 3627,1809 is 9.
Lets's calculate LCM of 579,2712
| 3 | 579, 2712 |
| 193, 904 |
∴ So the LCM of the given numbers is 3 x 193 x 904 = 523416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/523416
Therefore, the GCF of Fractions 3627/579,1809/2712 is 9/523416
Least Common Multiple of 579,2712 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 579,2712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,2712) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,2712) x common factors =3 x 1 = 3
LCM(579,2712) = ( 579 × 2712 ) / 3
LCM(579,2712) = 1570248 / 3
LCM(579,2712) = 523416
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FAQs on GCF of Fractions of 3627/579, 1809/2712
1. What is the HCF of 3627,1809?
The HCF of 3627,1809 is 9
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 3627/579, 1809/2712?
Answer: GCF of Numerators as per given numbers 3627/579, 1809/2712 is
GCF of Numerators i.e. for 3627,1809 is 9
LCM of denominators i.e. for 579,2712 is 523416.
Thus, GCF of Fractions is 9/523416.Finally, GCF of Fractions for 3627/579, 1809/2712 is 9/523416.