GCF of 6498/399, 9579/6912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6498/399, 9579/6912 i.e 3/919296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6498/399, 9579/6912.
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 6498/399,9579/6912?
Given fractions are 6498/399,9579/6912
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 6498/399,9579/6912, numerators are 6498,9579
Denominators are 399,6912
The GCF of 6498,9579 is 3 .
LCM of 399,6912 is 919296.
The greatest common factor of 6498/399,9579/6912 = [GCF of 6498,9579]/[LCM of 399,6912]= 3/919296
Therefore, the GCF of 6498/399,9579/6912 is 3/919296.
To find the highest common factor of 6498,9579, we have to find the factors of both numbers and list the highest common factor.
The factors of 6498 are 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342, 361, 722, 1083, 2166, 3249, 6498
The factors of 9579 are 1, 3, 31, 93, 103, 309, 3193, 9579
The HCF of 6498,9579 is 3.
Lets's calculate GCF of 6498,9579
| 3 | 6498, 9579 |
| 2166, 3193 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6498,9579 By Matching Biggest Common Factor Method
Now, list down the factors of 6498
:1,2,3,6,9,18,19,38,57,114,171,342,361,722,1083,2166,3249,6498
Now, list down the factors of 9579
:1,3,31,93,103,309,3193,9579
Greatest Common Factor
We found the factors 6498,9579 . The biggest common factor number is the GCF number.
So the greatest common factor 6498,9579 is 3.
Lets's calculate LCM of 399,6912
| 3 | 399, 6912 |
| 133, 2304 |
∴ So the LCM of the given numbers is 3 x 133 x 2304 = 919296
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/919296
Therefore, the GCF of Fractions 6498/399,9579/6912 is 3/919296
Least Common Multiple of 399,6912 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 399,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(399,6912) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(399,6912) x common factors =3 x 1 = 3
LCM(399,6912) = ( 399 × 6912 ) / 3
LCM(399,6912) = 2757888 / 3
LCM(399,6912) = 919296
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FAQs on GCF of Fractions of 6498/399, 9579/6912
1. What is the HCF of 6498,9579?
The HCF of 6498,9579 is 3
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 6498/399, 9579/6912?
Answer: GCF of Numerators as per given numbers 6498/399, 9579/6912 is
GCF of Numerators i.e. for 6498,9579 is 3
LCM of denominators i.e. for 399,6912 is 919296.
Thus, GCF of Fractions is 3/919296.Finally, GCF of Fractions for 6498/399, 9579/6912 is 3/919296.