GCF of 2943/231, 8001/879
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2943/231, 8001/879 i.e 9/67683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2943/231, 8001/879.
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 2943/231,8001/879?
Given fractions are 2943/231,8001/879
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 2943/231,8001/879, numerators are 2943,8001
Denominators are 231,879
The GCF of 2943,8001 is 9 .
LCM of 231,879 is 67683.
The greatest common factor of 2943/231,8001/879 = [GCF of 2943,8001]/[LCM of 231,879]= 9/67683
Therefore, the GCF of 2943/231,8001/879 is 9/67683.
To find the highest common factor of 2943,8001, we have to find the factors of both numbers and list the highest common factor.
The factors of 2943 are 1, 3, 9, 27, 109, 327, 981, 2943
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The HCF of 2943,8001 is 9.
Lets's calculate GCF of 2943,8001
| 3 | 2943, 8001 |
| 3 | 981, 2667 |
| 327, 889 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2943,8001 By Matching Biggest Common Factor Method
Now, list down the factors of 2943
:1,3,9,27,109,327,981,2943
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Greatest Common Factor
We found the factors 2943,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 2943,8001 is 9.
Lets's calculate LCM of 231,879
| 3 | 231, 879 |
| 77, 293 |
∴ So the LCM of the given numbers is 3 x 77 x 293 = 67683
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/67683
Therefore, the GCF of Fractions 2943/231,8001/879 is 9/67683
Least Common Multiple of 231,879 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 231,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,879) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(231,879) x common factors =3 x 1 = 3
LCM(231,879) = ( 231 × 879 ) / 3
LCM(231,879) = 203049 / 3
LCM(231,879) = 67683
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FAQs on GCF of Fractions of 2943/231, 8001/879
1. What is the HCF of 2943,8001?
The HCF of 2943,8001 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 2943/231, 8001/879?
Answer: GCF of Numerators as per given numbers 2943/231, 8001/879 is
GCF of Numerators i.e. for 2943,8001 is 9
LCM of denominators i.e. for 231,879 is 67683.
Thus, GCF of Fractions is 9/67683.Finally, GCF of Fractions for 2943/231, 8001/879 is 9/67683.