GCF of 6589/999, 5829/9345
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6589/999, 5829/9345 i.e 1/3111885 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6589/999, 5829/9345.
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 6589/999,5829/9345?
Given fractions are 6589/999,5829/9345
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 6589/999,5829/9345, numerators are 6589,5829
Denominators are 999,9345
The GCF of 6589,5829 is 1 .
LCM of 999,9345 is 3111885.
The greatest common factor of 6589/999,5829/9345 = [GCF of 6589,5829]/[LCM of 999,9345]= 1/3111885
Therefore, the GCF of 6589/999,5829/9345 is 1/3111885.
To find the highest common factor of 6589,5829, we have to find the factors of both numbers and list the highest common factor.
The factors of 6589 are 1, 11, 599, 6589
The factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829
The HCF of 6589,5829 is 1.
Lets's calculate GCF of 6589,5829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6589,5829 By Matching Biggest Common Factor Method
Now, list down the factors of 6589
:1,11,599,6589
Now, list down the factors of 5829
:1,3,29,67,87,201,1943,5829
Greatest Common Factor
We found the factors 6589,5829 . The biggest common factor number is the GCF number.
So the greatest common factor 6589,5829 is 1.
Lets's calculate LCM of 999,9345
| 3 | 999, 9345 |
| 333, 3115 |
∴ So the LCM of the given numbers is 3 x 333 x 3115 = 3111885
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3111885
Therefore, the GCF of Fractions 6589/999,5829/9345 is 1/3111885
Least Common Multiple of 999,9345 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 999,9345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,9345) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(999,9345) x common factors =3 x 1 = 3
LCM(999,9345) = ( 999 × 9345 ) / 3
LCM(999,9345) = 9335655 / 3
LCM(999,9345) = 3111885
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FAQs on GCF of Fractions of 6589/999, 5829/9345
1. What is the HCF of 6589,5829?
The HCF of 6589,5829 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 6589/999, 5829/9345?
Answer: GCF of Numerators as per given numbers 6589/999, 5829/9345 is
GCF of Numerators i.e. for 6589,5829 is 1
LCM of denominators i.e. for 999,9345 is 3111885.
Thus, GCF of Fractions is 1/3111885.Finally, GCF of Fractions for 6589/999, 5829/9345 is 1/3111885.