GCF of 8289/760, 1986/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8289/760, 1986/517 i.e 3/392920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/760, 1986/517.
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 8289/760,1986/517?
Given fractions are 8289/760,1986/517
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 8289/760,1986/517, numerators are 8289,1986
Denominators are 760,517
The GCF of 8289,1986 is 3 .
LCM of 760,517 is 392920.
The greatest common factor of 8289/760,1986/517 = [GCF of 8289,1986]/[LCM of 760,517]= 3/392920
Therefore, the GCF of 8289/760,1986/517 is 3/392920.
To find the highest common factor of 8289,1986, we have to find the factors of both numbers and list the highest common factor.
The factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289
The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986
The HCF of 8289,1986 is 3.
Lets's calculate GCF of 8289,1986
| 3 | 8289, 1986 |
| 2763, 662 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8289,1986 By Matching Biggest Common Factor Method
Now, list down the factors of 8289
:1,3,9,27,307,921,2763,8289
Now, list down the factors of 1986
:1,2,3,6,331,662,993,1986
Greatest Common Factor
We found the factors 8289,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,1986 is 3.
Lets's calculate LCM of 760,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 392920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/392920
Therefore, the GCF of Fractions 8289/760,1986/517 is 3/392920
Least Common Multiple of 760,517 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 760,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(760,517) x common factors =1 x 1 = 1
LCM(760,517) = ( 760 × 517 ) / 1
LCM(760,517) = 392920 / 1
LCM(760,517) = 392920
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FAQs on GCF of Fractions of 8289/760, 1986/517
1. What is the HCF of 8289,1986?
The HCF of 8289,1986 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 8289/760, 1986/517?
Answer: GCF of Numerators as per given numbers 8289/760, 1986/517 is
GCF of Numerators i.e. for 8289,1986 is 3
LCM of denominators i.e. for 760,517 is 392920.
Thus, GCF of Fractions is 3/392920.Finally, GCF of Fractions for 8289/760, 1986/517 is 3/392920.