GCF of 6409/129, 1017/3589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6409/129, 1017/3589 i.e 1/462981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6409/129, 1017/3589.
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 6409/129,1017/3589?
Given fractions are 6409/129,1017/3589
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 6409/129,1017/3589, numerators are 6409,1017
Denominators are 129,3589
The GCF of 6409,1017 is 1 .
LCM of 129,3589 is 462981.
The greatest common factor of 6409/129,1017/3589 = [GCF of 6409,1017]/[LCM of 129,3589]= 1/462981
Therefore, the GCF of 6409/129,1017/3589 is 1/462981.
To find the highest common factor of 6409,1017, we have to find the factors of both numbers and list the highest common factor.
The factors of 6409 are 1, 13, 17, 29, 221, 377, 493, 6409
The factors of 1017 are 1, 3, 9, 113, 339, 1017
The HCF of 6409,1017 is 1.
Lets's calculate GCF of 6409,1017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6409,1017 By Matching Biggest Common Factor Method
Now, list down the factors of 6409
:1,13,17,29,221,377,493,6409
Now, list down the factors of 1017
:1,3,9,113,339,1017
Greatest Common Factor
We found the factors 6409,1017 . The biggest common factor number is the GCF number.
So the greatest common factor 6409,1017 is 1.
Lets's calculate LCM of 129,3589
Given numbers has no common factors except 1. So, there LCM is their product i.e 462981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/462981
Therefore, the GCF of Fractions 6409/129,1017/3589 is 1/462981
Least Common Multiple of 129,3589 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 129,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,3589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,3589) x common factors =1 x 1 = 1
LCM(129,3589) = ( 129 × 3589 ) / 1
LCM(129,3589) = 462981 / 1
LCM(129,3589) = 462981
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FAQs on GCF of Fractions of 6409/129, 1017/3589
1. What is the HCF of 6409,1017?
The HCF of 6409,1017 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 6409/129, 1017/3589?
Answer: GCF of Numerators as per given numbers 6409/129, 1017/3589 is
GCF of Numerators i.e. for 6409,1017 is 1
LCM of denominators i.e. for 129,3589 is 462981.
Thus, GCF of Fractions is 1/462981.Finally, GCF of Fractions for 6409/129, 1017/3589 is 1/462981.