GCF of 6981/204, 4761/6051
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6981/204, 4761/6051 i.e 3/411468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6981/204, 4761/6051.
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 6981/204,4761/6051?
Given fractions are 6981/204,4761/6051
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 6981/204,4761/6051, numerators are 6981,4761
Denominators are 204,6051
The GCF of 6981,4761 is 3 .
LCM of 204,6051 is 411468.
The greatest common factor of 6981/204,4761/6051 = [GCF of 6981,4761]/[LCM of 204,6051]= 3/411468
Therefore, the GCF of 6981/204,4761/6051 is 3/411468.
To find the highest common factor of 6981,4761, we have to find the factors of both numbers and list the highest common factor.
The factors of 6981 are 1, 3, 13, 39, 179, 537, 2327, 6981
The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761
The HCF of 6981,4761 is 3.
Lets's calculate GCF of 6981,4761
| 3 | 6981, 4761 |
| 2327, 1587 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6981,4761 By Matching Biggest Common Factor Method
Now, list down the factors of 6981
:1,3,13,39,179,537,2327,6981
Now, list down the factors of 4761
:1,3,9,23,69,207,529,1587,4761
Greatest Common Factor
We found the factors 6981,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 6981,4761 is 3.
Lets's calculate LCM of 204,6051
| 3 | 204, 6051 |
| 68, 2017 |
∴ So the LCM of the given numbers is 3 x 68 x 2017 = 411468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/411468
Therefore, the GCF of Fractions 6981/204,4761/6051 is 3/411468
Least Common Multiple of 204,6051 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 204,6051 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,6051) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,6051) x common factors =3 x 1 = 3
LCM(204,6051) = ( 204 × 6051 ) / 3
LCM(204,6051) = 1234404 / 3
LCM(204,6051) = 411468
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FAQs on GCF of Fractions of 6981/204, 4761/6051
1. What is the HCF of 6981,4761?
The HCF of 6981,4761 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 6981/204, 4761/6051?
Answer: GCF of Numerators as per given numbers 6981/204, 4761/6051 is
GCF of Numerators i.e. for 6981,4761 is 3
LCM of denominators i.e. for 204,6051 is 411468.
Thus, GCF of Fractions is 3/411468.Finally, GCF of Fractions for 6981/204, 4761/6051 is 3/411468.