GCF of 8181/339, 5438/3949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8181/339, 5438/3949 i.e 1/1338711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8181/339, 5438/3949.
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 8181/339,5438/3949?
Given fractions are 8181/339,5438/3949
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 8181/339,5438/3949, numerators are 8181,5438
Denominators are 339,3949
The GCF of 8181,5438 is 1 .
LCM of 339,3949 is 1338711.
The greatest common factor of 8181/339,5438/3949 = [GCF of 8181,5438]/[LCM of 339,3949]= 1/1338711
Therefore, the GCF of 8181/339,5438/3949 is 1/1338711.
To find the highest common factor of 8181,5438, we have to find the factors of both numbers and list the highest common factor.
The factors of 8181 are 1, 3, 9, 27, 81, 101, 303, 909, 2727, 8181
The factors of 5438 are 1, 2, 2719, 5438
The HCF of 8181,5438 is 1.
Lets's calculate GCF of 8181,5438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8181,5438 By Matching Biggest Common Factor Method
Now, list down the factors of 8181
:1,3,9,27,81,101,303,909,2727,8181
Now, list down the factors of 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 8181,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 8181,5438 is 1.
Lets's calculate LCM of 339,3949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1338711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1338711
Therefore, the GCF of Fractions 8181/339,5438/3949 is 1/1338711
Least Common Multiple of 339,3949 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 339,3949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,3949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,3949) x common factors =1 x 1 = 1
LCM(339,3949) = ( 339 × 3949 ) / 1
LCM(339,3949) = 1338711 / 1
LCM(339,3949) = 1338711
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FAQs on GCF of Fractions of 8181/339, 5438/3949
1. What is the HCF of 8181,5438?
The HCF of 8181,5438 is 1
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 8181/339, 5438/3949?
Answer: GCF of Numerators as per given numbers 8181/339, 5438/3949 is
GCF of Numerators i.e. for 8181,5438 is 1
LCM of denominators i.e. for 339,3949 is 1338711.
Thus, GCF of Fractions is 1/1338711.Finally, GCF of Fractions for 8181/339, 5438/3949 is 1/1338711.