GCF of 6327/329, 8115/8753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6327/329, 8115/8753 i.e 3/2879737 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6327/329, 8115/8753.
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 6327/329,8115/8753?
Given fractions are 6327/329,8115/8753
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 6327/329,8115/8753, numerators are 6327,8115
Denominators are 329,8753
The GCF of 6327,8115 is 3 .
LCM of 329,8753 is 2879737.
The greatest common factor of 6327/329,8115/8753 = [GCF of 6327,8115]/[LCM of 329,8753]= 3/2879737
Therefore, the GCF of 6327/329,8115/8753 is 3/2879737.
To find the highest common factor of 6327,8115, we have to find the factors of both numbers and list the highest common factor.
The factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
The factors of 8115 are 1, 3, 5, 15, 541, 1623, 2705, 8115
The HCF of 6327,8115 is 3.
Lets's calculate GCF of 6327,8115
| 3 | 6327, 8115 |
| 2109, 2705 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6327,8115 By Matching Biggest Common Factor Method
Now, list down the factors of 6327
:1,3,9,19,37,57,111,171,333,703,2109,6327
Now, list down the factors of 8115
:1,3,5,15,541,1623,2705,8115
Greatest Common Factor
We found the factors 6327,8115 . The biggest common factor number is the GCF number.
So the greatest common factor 6327,8115 is 3.
Lets's calculate LCM of 329,8753
Given numbers has no common factors except 1. So, there LCM is their product i.e 2879737
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2879737
Therefore, the GCF of Fractions 6327/329,8115/8753 is 3/2879737
Least Common Multiple of 329,8753 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 329,8753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,8753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,8753) x common factors =1 x 1 = 1
LCM(329,8753) = ( 329 × 8753 ) / 1
LCM(329,8753) = 2879737 / 1
LCM(329,8753) = 2879737
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FAQs on GCF of Fractions of 6327/329, 8115/8753
1. What is the HCF of 6327,8115?
The HCF of 6327,8115 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 6327/329, 8115/8753?
Answer: GCF of Numerators as per given numbers 6327/329, 8115/8753 is
GCF of Numerators i.e. for 6327,8115 is 3
LCM of denominators i.e. for 329,8753 is 2879737.
Thus, GCF of Fractions is 3/2879737.Finally, GCF of Fractions for 6327/329, 8115/8753 is 3/2879737.