GCF of 6329/516, 3598/3329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6329/516, 3598/3329 i.e 1/1717764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6329/516, 3598/3329.
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 6329/516,3598/3329?
Given fractions are 6329/516,3598/3329
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 6329/516,3598/3329, numerators are 6329,3598
Denominators are 516,3329
The GCF of 6329,3598 is 1 .
LCM of 516,3329 is 1717764.
The greatest common factor of 6329/516,3598/3329 = [GCF of 6329,3598]/[LCM of 516,3329]= 1/1717764
Therefore, the GCF of 6329/516,3598/3329 is 1/1717764.
To find the highest common factor of 6329,3598, we have to find the factors of both numbers and list the highest common factor.
The factors of 6329 are 1, 6329
The factors of 3598 are 1, 2, 7, 14, 257, 514, 1799, 3598
The HCF of 6329,3598 is 1.
Lets's calculate GCF of 6329,3598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6329,3598 By Matching Biggest Common Factor Method
Now, list down the factors of 6329
:1,6329
Now, list down the factors of 3598
:1,2,7,14,257,514,1799,3598
Greatest Common Factor
We found the factors 6329,3598 . The biggest common factor number is the GCF number.
So the greatest common factor 6329,3598 is 1.
Lets's calculate LCM of 516,3329
Given numbers has no common factors except 1. So, there LCM is their product i.e 1717764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1717764
Therefore, the GCF of Fractions 6329/516,3598/3329 is 1/1717764
Least Common Multiple of 516,3329 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 516,3329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(516,3329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(516,3329) x common factors =1 x 1 = 1
LCM(516,3329) = ( 516 × 3329 ) / 1
LCM(516,3329) = 1717764 / 1
LCM(516,3329) = 1717764
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FAQs on GCF of Fractions of 6329/516, 3598/3329
1. What is the HCF of 6329,3598?
The HCF of 6329,3598 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 6329/516, 3598/3329?
Answer: GCF of Numerators as per given numbers 6329/516, 3598/3329 is
GCF of Numerators i.e. for 6329,3598 is 1
LCM of denominators i.e. for 516,3329 is 1717764.
Thus, GCF of Fractions is 1/1717764.Finally, GCF of Fractions for 6329/516, 3598/3329 is 1/1717764.