GCF of 8667/339, 4158/341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8667/339, 4158/341 i.e 27/115599 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8667/339, 4158/341.
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 8667/339,4158/341?
Given fractions are 8667/339,4158/341
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 8667/339,4158/341, numerators are 8667,4158
Denominators are 339,341
The GCF of 8667,4158 is 27 .
LCM of 339,341 is 115599.
The greatest common factor of 8667/339,4158/341 = [GCF of 8667,4158]/[LCM of 339,341]= 27/115599
Therefore, the GCF of 8667/339,4158/341 is 27/115599.
To find the highest common factor of 8667,4158, we have to find the factors of both numbers and list the highest common factor.
The factors of 8667 are 1, 3, 9, 27, 81, 107, 321, 963, 2889, 8667
The factors of 4158 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 27, 33, 42, 54, 63, 66, 77, 99, 126, 154, 189, 198, 231, 297, 378, 462, 594, 693, 1386, 2079, 4158
The HCF of 8667,4158 is 27.
Lets's calculate GCF of 8667,4158
| 3 | 8667, 4158 |
| 3 | 2889, 1386 |
| 3 | 963, 462 |
| 321, 154 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 8667,4158 By Matching Biggest Common Factor Method
Now, list down the factors of 8667
:1,3,9,27,81,107,321,963,2889,8667
Now, list down the factors of 4158
:1,2,3,6,7,9,11,14,18,21,22,27,33,42,54,63,66,77,99,126,154,189,198,231,297,378,462,594,693,1386,2079,4158
Greatest Common Factor
We found the factors 8667,4158 . The biggest common factor number is the GCF number.
So the greatest common factor 8667,4158 is 27.
Lets's calculate LCM of 339,341
Given numbers has no common factors except 1. So, there LCM is their product i.e 115599
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/115599
Therefore, the GCF of Fractions 8667/339,4158/341 is 27/115599
Least Common Multiple of 339,341 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 339,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,341) x common factors =1 x 1 = 1
LCM(339,341) = ( 339 × 341 ) / 1
LCM(339,341) = 115599 / 1
LCM(339,341) = 115599
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FAQs on GCF of Fractions of 8667/339, 4158/341
1. What is the HCF of 8667,4158?
The HCF of 8667,4158 is 27
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 8667/339, 4158/341?
Answer: GCF of Numerators as per given numbers 8667/339, 4158/341 is
GCF of Numerators i.e. for 8667,4158 is 27
LCM of denominators i.e. for 339,341 is 115599.
Thus, GCF of Fractions is 27/115599.Finally, GCF of Fractions for 8667/339, 4158/341 is 27/115599.