GCF of 6343/129, 8726/3997
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6343/129, 8726/3997 i.e 1/515613 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6343/129, 8726/3997.
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 6343/129,8726/3997?
Given fractions are 6343/129,8726/3997
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 6343/129,8726/3997, numerators are 6343,8726
Denominators are 129,3997
The GCF of 6343,8726 is 1 .
LCM of 129,3997 is 515613.
The greatest common factor of 6343/129,8726/3997 = [GCF of 6343,8726]/[LCM of 129,3997]= 1/515613
Therefore, the GCF of 6343/129,8726/3997 is 1/515613.
To find the highest common factor of 6343,8726, we have to find the factors of both numbers and list the highest common factor.
The factors of 6343 are 1, 6343
The factors of 8726 are 1, 2, 4363, 8726
The HCF of 6343,8726 is 1.
Lets's calculate GCF of 6343,8726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6343,8726 By Matching Biggest Common Factor Method
Now, list down the factors of 6343
:1,6343
Now, list down the factors of 8726
:1,2,4363,8726
Greatest Common Factor
We found the factors 6343,8726 . The biggest common factor number is the GCF number.
So the greatest common factor 6343,8726 is 1.
Lets's calculate LCM of 129,3997
Given numbers has no common factors except 1. So, there LCM is their product i.e 515613
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/515613
Therefore, the GCF of Fractions 6343/129,8726/3997 is 1/515613
Least Common Multiple of 129,3997 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 129,3997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,3997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,3997) x common factors =1 x 1 = 1
LCM(129,3997) = ( 129 × 3997 ) / 1
LCM(129,3997) = 515613 / 1
LCM(129,3997) = 515613
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FAQs on GCF of Fractions of 6343/129, 8726/3997
1. What is the HCF of 6343,8726?
The HCF of 6343,8726 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 6343/129, 8726/3997?
Answer: GCF of Numerators as per given numbers 6343/129, 8726/3997 is
GCF of Numerators i.e. for 6343,8726 is 1
LCM of denominators i.e. for 129,3997 is 515613.
Thus, GCF of Fractions is 1/515613.Finally, GCF of Fractions for 6343/129, 8726/3997 is 1/515613.