GCF of 8177/861, 8517/8129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8177/861, 8517/8129 i.e 17/6999069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8177/861, 8517/8129.
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 8177/861,8517/8129?
Given fractions are 8177/861,8517/8129
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 8177/861,8517/8129, numerators are 8177,8517
Denominators are 861,8129
The GCF of 8177,8517 is 17 .
LCM of 861,8129 is 6999069.
The greatest common factor of 8177/861,8517/8129 = [GCF of 8177,8517]/[LCM of 861,8129]= 17/6999069
Therefore, the GCF of 8177/861,8517/8129 is 17/6999069.
To find the highest common factor of 8177,8517, we have to find the factors of both numbers and list the highest common factor.
The factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177
The factors of 8517 are 1, 3, 17, 51, 167, 501, 2839, 8517
The HCF of 8177,8517 is 17.
Lets's calculate GCF of 8177,8517
| 17 | 8177, 8517 |
| 481, 501 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8177,8517 By Matching Biggest Common Factor Method
Now, list down the factors of 8177
:1,13,17,37,221,481,629,8177
Now, list down the factors of 8517
:1,3,17,51,167,501,2839,8517
Greatest Common Factor
We found the factors 8177,8517 . The biggest common factor number is the GCF number.
So the greatest common factor 8177,8517 is 17.
Lets's calculate LCM of 861,8129
Given numbers has no common factors except 1. So, there LCM is their product i.e 6999069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/6999069
Therefore, the GCF of Fractions 8177/861,8517/8129 is 17/6999069
Least Common Multiple of 861,8129 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 861,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,8129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(861,8129) x common factors =1 x 1 = 1
LCM(861,8129) = ( 861 × 8129 ) / 1
LCM(861,8129) = 6999069 / 1
LCM(861,8129) = 6999069
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FAQs on GCF of Fractions of 8177/861, 8517/8129
1. What is the HCF of 8177,8517?
The HCF of 8177,8517 is 17
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 8177/861, 8517/8129?
Answer: GCF of Numerators as per given numbers 8177/861, 8517/8129 is
GCF of Numerators i.e. for 8177,8517 is 17
LCM of denominators i.e. for 861,8129 is 6999069.
Thus, GCF of Fractions is 17/6999069.Finally, GCF of Fractions for 8177/861, 8517/8129 is 17/6999069.