GCF of 6806/397, 9471/2797
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6806/397, 9471/2797 i.e 41/1110409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6806/397, 9471/2797.
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 6806/397,9471/2797?
Given fractions are 6806/397,9471/2797
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 6806/397,9471/2797, numerators are 6806,9471
Denominators are 397,2797
The GCF of 6806,9471 is 41 .
LCM of 397,2797 is 1110409.
The greatest common factor of 6806/397,9471/2797 = [GCF of 6806,9471]/[LCM of 397,2797]= 41/1110409
Therefore, the GCF of 6806/397,9471/2797 is 41/1110409.
To find the highest common factor of 6806,9471, we have to find the factors of both numbers and list the highest common factor.
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The factors of 9471 are 1, 3, 7, 11, 21, 33, 41, 77, 123, 231, 287, 451, 861, 1353, 3157, 9471
The HCF of 6806,9471 is 41.
Lets's calculate GCF of 6806,9471
| 41 | 6806, 9471 |
| 166, 231 |
∴ So the GCF of the given numbers is 41 = 41
Greatest Common Factor of 6806,9471 By Matching Biggest Common Factor Method
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Now, list down the factors of 9471
:1,3,7,11,21,33,41,77,123,231,287,451,861,1353,3157,9471
Greatest Common Factor
We found the factors 6806,9471 . The biggest common factor number is the GCF number.
So the greatest common factor 6806,9471 is 41.
Lets's calculate LCM of 397,2797
Given numbers has no common factors except 1. So, there LCM is their product i.e 1110409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/1110409
Therefore, the GCF of Fractions 6806/397,9471/2797 is 41/1110409
Least Common Multiple of 397,2797 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 397,2797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,2797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,2797) x common factors =1 x 1 = 1
LCM(397,2797) = ( 397 × 2797 ) / 1
LCM(397,2797) = 1110409 / 1
LCM(397,2797) = 1110409
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FAQs on GCF of Fractions of 6806/397, 9471/2797
1. What is the HCF of 6806,9471?
The HCF of 6806,9471 is 41
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 6806/397, 9471/2797?
Answer: GCF of Numerators as per given numbers 6806/397, 9471/2797 is
GCF of Numerators i.e. for 6806,9471 is 41
LCM of denominators i.e. for 397,2797 is 1110409.
Thus, GCF of Fractions is 41/1110409.Finally, GCF of Fractions for 6806/397, 9471/2797 is 41/1110409.