GCF of 8289/106, 4467/3191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8289/106, 4467/3191 i.e 3/338246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8289/106, 4467/3191.
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 8289/106,4467/3191?
Given fractions are 8289/106,4467/3191
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 8289/106,4467/3191, numerators are 8289,4467
Denominators are 106,3191
The GCF of 8289,4467 is 3 .
LCM of 106,3191 is 338246.
The greatest common factor of 8289/106,4467/3191 = [GCF of 8289,4467]/[LCM of 106,3191]= 3/338246
Therefore, the GCF of 8289/106,4467/3191 is 3/338246.
To find the highest common factor of 8289,4467, 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 4467 are 1, 3, 1489, 4467
The HCF of 8289,4467 is 3.
Lets's calculate GCF of 8289,4467
| 3 | 8289, 4467 |
| 2763, 1489 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8289,4467 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 4467
:1,3,1489,4467
Greatest Common Factor
We found the factors 8289,4467 . The biggest common factor number is the GCF number.
So the greatest common factor 8289,4467 is 3.
Lets's calculate LCM of 106,3191
Given numbers has no common factors except 1. So, there LCM is their product i.e 338246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/338246
Therefore, the GCF of Fractions 8289/106,4467/3191 is 3/338246
Least Common Multiple of 106,3191 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 106,3191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,3191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,3191) x common factors =1 x 1 = 1
LCM(106,3191) = ( 106 × 3191 ) / 1
LCM(106,3191) = 338246 / 1
LCM(106,3191) = 338246
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FAQs on GCF of Fractions of 8289/106, 4467/3191
1. What is the HCF of 8289,4467?
The HCF of 8289,4467 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 8289/106, 4467/3191?
Answer: GCF of Numerators as per given numbers 8289/106, 4467/3191 is
GCF of Numerators i.e. for 8289,4467 is 3
LCM of denominators i.e. for 106,3191 is 338246.
Thus, GCF of Fractions is 3/338246.Finally, GCF of Fractions for 8289/106, 4467/3191 is 3/338246.