GCF of 6096/993, 4308/975
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6096/993, 4308/975 i.e 12/322725 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6096/993, 4308/975.
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 6096/993,4308/975?
Given fractions are 6096/993,4308/975
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 6096/993,4308/975, numerators are 6096,4308
Denominators are 993,975
The GCF of 6096,4308 is 12 .
LCM of 993,975 is 322725.
The greatest common factor of 6096/993,4308/975 = [GCF of 6096,4308]/[LCM of 993,975]= 12/322725
Therefore, the GCF of 6096/993,4308/975 is 12/322725.
To find the highest common factor of 6096,4308, we have to find the factors of both numbers and list the highest common factor.
The factors of 6096 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 127, 254, 381, 508, 762, 1016, 1524, 2032, 3048, 6096
The factors of 4308 are 1, 2, 3, 4, 6, 12, 359, 718, 1077, 1436, 2154, 4308
The HCF of 6096,4308 is 12.
Lets's calculate GCF of 6096,4308
| 2 | 6096, 4308 |
| 2 | 3048, 2154 |
| 3 | 1524, 1077 |
| 508, 359 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6096,4308 By Matching Biggest Common Factor Method
Now, list down the factors of 6096
:1,2,3,4,6,8,12,16,24,48,127,254,381,508,762,1016,1524,2032,3048,6096
Now, list down the factors of 4308
:1,2,3,4,6,12,359,718,1077,1436,2154,4308
Greatest Common Factor
We found the factors 6096,4308 . The biggest common factor number is the GCF number.
So the greatest common factor 6096,4308 is 12.
Lets's calculate LCM of 993,975
| 3 | 993, 975 |
| 331, 325 |
∴ So the LCM of the given numbers is 3 x 331 x 325 = 322725
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/322725
Therefore, the GCF of Fractions 6096/993,4308/975 is 12/322725
Least Common Multiple of 993,975 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 993,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(993,975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(993,975) x common factors =3 x 1 = 3
LCM(993,975) = ( 993 × 975 ) / 3
LCM(993,975) = 968175 / 3
LCM(993,975) = 322725
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FAQs on GCF of Fractions of 6096/993, 4308/975
1. What is the HCF of 6096,4308?
The HCF of 6096,4308 is 12
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 6096/993, 4308/975?
Answer: GCF of Numerators as per given numbers 6096/993, 4308/975 is
GCF of Numerators i.e. for 6096,4308 is 12
LCM of denominators i.e. for 993,975 is 322725.
Thus, GCF of Fractions is 12/322725.Finally, GCF of Fractions for 6096/993, 4308/975 is 12/322725.