GCF of 3269/588, 5329/6981
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3269/588, 5329/6981 i.e 1/1368276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3269/588, 5329/6981.
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 3269/588,5329/6981?
Given fractions are 3269/588,5329/6981
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 3269/588,5329/6981, numerators are 3269,5329
Denominators are 588,6981
The GCF of 3269,5329 is 1 .
LCM of 588,6981 is 1368276.
The greatest common factor of 3269/588,5329/6981 = [GCF of 3269,5329]/[LCM of 588,6981]= 1/1368276
Therefore, the GCF of 3269/588,5329/6981 is 1/1368276.
To find the highest common factor of 3269,5329, we have to find the factors of both numbers and list the highest common factor.
The factors of 3269 are 1, 7, 467, 3269
The factors of 5329 are 1, 73, 5329
The HCF of 3269,5329 is 1.
Lets's calculate GCF of 3269,5329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3269,5329 By Matching Biggest Common Factor Method
Now, list down the factors of 3269
:1,7,467,3269
Now, list down the factors of 5329
:1,73,5329
Greatest Common Factor
We found the factors 3269,5329 . The biggest common factor number is the GCF number.
So the greatest common factor 3269,5329 is 1.
Lets's calculate LCM of 588,6981
| 3 | 588, 6981 |
| 196, 2327 |
∴ So the LCM of the given numbers is 3 x 196 x 2327 = 1368276
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1368276
Therefore, the GCF of Fractions 3269/588,5329/6981 is 1/1368276
Least Common Multiple of 588,6981 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 588,6981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(588,6981) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(588,6981) x common factors =3 x 1 = 3
LCM(588,6981) = ( 588 × 6981 ) / 3
LCM(588,6981) = 4104828 / 3
LCM(588,6981) = 1368276
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FAQs on GCF of Fractions of 3269/588, 5329/6981
1. What is the HCF of 3269,5329?
The HCF of 3269,5329 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 3269/588, 5329/6981?
Answer: GCF of Numerators as per given numbers 3269/588, 5329/6981 is
GCF of Numerators i.e. for 3269,5329 is 1
LCM of denominators i.e. for 588,6981 is 1368276.
Thus, GCF of Fractions is 1/1368276.Finally, GCF of Fractions for 3269/588, 5329/6981 is 1/1368276.