GCF of 5181/291, 1584/2709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5181/291, 1584/2709 i.e 33/262773 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5181/291, 1584/2709.
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 5181/291,1584/2709?
Given fractions are 5181/291,1584/2709
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 5181/291,1584/2709, numerators are 5181,1584
Denominators are 291,2709
The GCF of 5181,1584 is 33 .
LCM of 291,2709 is 262773.
The greatest common factor of 5181/291,1584/2709 = [GCF of 5181,1584]/[LCM of 291,2709]= 33/262773
Therefore, the GCF of 5181/291,1584/2709 is 33/262773.
To find the highest common factor of 5181,1584, we have to find the factors of both numbers and list the highest common factor.
The factors of 5181 are 1, 3, 11, 33, 157, 471, 1727, 5181
The factors of 1584 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 33, 36, 44, 48, 66, 72, 88, 99, 132, 144, 176, 198, 264, 396, 528, 792, 1584
The HCF of 5181,1584 is 33.
Lets's calculate GCF of 5181,1584
| 3 | 5181, 1584 |
| 11 | 1727, 528 |
| 157, 48 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 5181,1584 By Matching Biggest Common Factor Method
Now, list down the factors of 5181
:1,3,11,33,157,471,1727,5181
Now, list down the factors of 1584
:1,2,3,4,6,8,9,11,12,16,18,22,24,33,36,44,48,66,72,88,99,132,144,176,198,264,396,528,792,1584
Greatest Common Factor
We found the factors 5181,1584 . The biggest common factor number is the GCF number.
So the greatest common factor 5181,1584 is 33.
Lets's calculate LCM of 291,2709
| 3 | 291, 2709 |
| 97, 903 |
∴ So the LCM of the given numbers is 3 x 97 x 903 = 262773
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/262773
Therefore, the GCF of Fractions 5181/291,1584/2709 is 33/262773
Least Common Multiple of 291,2709 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 291,2709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(291,2709) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(291,2709) x common factors =3 x 1 = 3
LCM(291,2709) = ( 291 × 2709 ) / 3
LCM(291,2709) = 788319 / 3
LCM(291,2709) = 262773
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5181/291, 1584/2709
1. What is the HCF of 5181,1584?
The HCF of 5181,1584 is 33
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 5181/291, 1584/2709?
Answer: GCF of Numerators as per given numbers 5181/291, 1584/2709 is
GCF of Numerators i.e. for 5181,1584 is 33
LCM of denominators i.e. for 291,2709 is 262773.
Thus, GCF of Fractions is 33/262773.Finally, GCF of Fractions for 5181/291, 1584/2709 is 33/262773.