GCF of 8131/319, 5983/4394
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8131/319, 5983/4394 i.e 1/1401686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8131/319, 5983/4394.
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 8131/319,5983/4394?
Given fractions are 8131/319,5983/4394
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 8131/319,5983/4394, numerators are 8131,5983
Denominators are 319,4394
The GCF of 8131,5983 is 1 .
LCM of 319,4394 is 1401686.
The greatest common factor of 8131/319,5983/4394 = [GCF of 8131,5983]/[LCM of 319,4394]= 1/1401686
Therefore, the GCF of 8131/319,5983/4394 is 1/1401686.
To find the highest common factor of 8131,5983, we have to find the factors of both numbers and list the highest common factor.
The factors of 8131 are 1, 47, 173, 8131
The factors of 5983 are 1, 31, 193, 5983
The HCF of 8131,5983 is 1.
Lets's calculate GCF of 8131,5983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8131,5983 By Matching Biggest Common Factor Method
Now, list down the factors of 8131
:1,47,173,8131
Now, list down the factors of 5983
:1,31,193,5983
Greatest Common Factor
We found the factors 8131,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 8131,5983 is 1.
Lets's calculate LCM of 319,4394
Given numbers has no common factors except 1. So, there LCM is their product i.e 1401686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1401686
Therefore, the GCF of Fractions 8131/319,5983/4394 is 1/1401686
Least Common Multiple of 319,4394 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 319,4394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,4394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,4394) x common factors =1 x 1 = 1
LCM(319,4394) = ( 319 × 4394 ) / 1
LCM(319,4394) = 1401686 / 1
LCM(319,4394) = 1401686
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FAQs on GCF of Fractions of 8131/319, 5983/4394
1. What is the HCF of 8131,5983?
The HCF of 8131,5983 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 8131/319, 5983/4394?
Answer: GCF of Numerators as per given numbers 8131/319, 5983/4394 is
GCF of Numerators i.e. for 8131,5983 is 1
LCM of denominators i.e. for 319,4394 is 1401686.
Thus, GCF of Fractions is 1/1401686.Finally, GCF of Fractions for 8131/319, 5983/4394 is 1/1401686.