GCF of 8001/579, 2678/6027
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8001/579, 2678/6027 i.e 1/1163211 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8001/579, 2678/6027.
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 8001/579,2678/6027?
Given fractions are 8001/579,2678/6027
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 8001/579,2678/6027, numerators are 8001,2678
Denominators are 579,6027
The GCF of 8001,2678 is 1 .
LCM of 579,6027 is 1163211.
The greatest common factor of 8001/579,2678/6027 = [GCF of 8001,2678]/[LCM of 579,6027]= 1/1163211
Therefore, the GCF of 8001/579,2678/6027 is 1/1163211.
To find the highest common factor of 8001,2678, we have to find the factors of both numbers and list the highest common factor.
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The factors of 2678 are 1, 2, 13, 26, 103, 206, 1339, 2678
The HCF of 8001,2678 is 1.
Lets's calculate GCF of 8001,2678
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8001,2678 By Matching Biggest Common Factor Method
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Now, list down the factors of 2678
:1,2,13,26,103,206,1339,2678
Greatest Common Factor
We found the factors 8001,2678 . The biggest common factor number is the GCF number.
So the greatest common factor 8001,2678 is 1.
Lets's calculate LCM of 579,6027
| 3 | 579, 6027 |
| 193, 2009 |
∴ So the LCM of the given numbers is 3 x 193 x 2009 = 1163211
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1163211
Therefore, the GCF of Fractions 8001/579,2678/6027 is 1/1163211
Least Common Multiple of 579,6027 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 579,6027 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,6027) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(579,6027) x common factors =3 x 1 = 3
LCM(579,6027) = ( 579 × 6027 ) / 3
LCM(579,6027) = 3489633 / 3
LCM(579,6027) = 1163211
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FAQs on GCF of Fractions of 8001/579, 2678/6027
1. What is the HCF of 8001,2678?
The HCF of 8001,2678 is 1
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 8001/579, 2678/6027?
Answer: GCF of Numerators as per given numbers 8001/579, 2678/6027 is
GCF of Numerators i.e. for 8001,2678 is 1
LCM of denominators i.e. for 579,6027 is 1163211.
Thus, GCF of Fractions is 1/1163211.Finally, GCF of Fractions for 8001/579, 2678/6027 is 1/1163211.