GCF of 6579/397, 8814/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6579/397, 8814/961 i.e 3/381517 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6579/397, 8814/961.
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 6579/397,8814/961?
Given fractions are 6579/397,8814/961
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 6579/397,8814/961, numerators are 6579,8814
Denominators are 397,961
The GCF of 6579,8814 is 3 .
LCM of 397,961 is 381517.
The greatest common factor of 6579/397,8814/961 = [GCF of 6579,8814]/[LCM of 397,961]= 3/381517
Therefore, the GCF of 6579/397,8814/961 is 3/381517.
To find the highest common factor of 6579,8814, we have to find the factors of both numbers and list the highest common factor.
The factors of 6579 are 1, 3, 9, 17, 43, 51, 129, 153, 387, 731, 2193, 6579
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The HCF of 6579,8814 is 3.
Lets's calculate GCF of 6579,8814
| 3 | 6579, 8814 |
| 2193, 2938 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6579,8814 By Matching Biggest Common Factor Method
Now, list down the factors of 6579
:1,3,9,17,43,51,129,153,387,731,2193,6579
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 6579,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 6579,8814 is 3.
Lets's calculate LCM of 397,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 381517
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/381517
Therefore, the GCF of Fractions 6579/397,8814/961 is 3/381517
Least Common Multiple of 397,961 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 397,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,961) x common factors =1 x 1 = 1
LCM(397,961) = ( 397 × 961 ) / 1
LCM(397,961) = 381517 / 1
LCM(397,961) = 381517
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FAQs on GCF of Fractions of 6579/397, 8814/961
1. What is the HCF of 6579,8814?
The HCF of 6579,8814 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 6579/397, 8814/961?
Answer: GCF of Numerators as per given numbers 6579/397, 8814/961 is
GCF of Numerators i.e. for 6579,8814 is 3
LCM of denominators i.e. for 397,961 is 381517.
Thus, GCF of Fractions is 3/381517.Finally, GCF of Fractions for 6579/397, 8814/961 is 3/381517.