GCF of 8004/186, 7464/2985
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8004/186, 7464/2985 i.e 12/185070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8004/186, 7464/2985.
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 8004/186,7464/2985?
Given fractions are 8004/186,7464/2985
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 8004/186,7464/2985, numerators are 8004,7464
Denominators are 186,2985
The GCF of 8004,7464 is 12 .
LCM of 186,2985 is 185070.
The greatest common factor of 8004/186,7464/2985 = [GCF of 8004,7464]/[LCM of 186,2985]= 12/185070
Therefore, the GCF of 8004/186,7464/2985 is 12/185070.
To find the highest common factor of 8004,7464, we have to find the factors of both numbers and list the highest common factor.
The factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004
The factors of 7464 are 1, 2, 3, 4, 6, 8, 12, 24, 311, 622, 933, 1244, 1866, 2488, 3732, 7464
The HCF of 8004,7464 is 12.
Lets's calculate GCF of 8004,7464
| 2 | 8004, 7464 |
| 2 | 4002, 3732 |
| 3 | 2001, 1866 |
| 667, 622 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8004,7464 By Matching Biggest Common Factor Method
Now, list down the factors of 8004
:1,2,3,4,6,12,23,29,46,58,69,87,92,116,138,174,276,348,667,1334,2001,2668,4002,8004
Now, list down the factors of 7464
:1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464
Greatest Common Factor
We found the factors 8004,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,7464 is 12.
Lets's calculate LCM of 186,2985
| 3 | 186, 2985 |
| 62, 995 |
∴ So the LCM of the given numbers is 3 x 62 x 995 = 185070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/185070
Therefore, the GCF of Fractions 8004/186,7464/2985 is 12/185070
Least Common Multiple of 186,2985 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 186,2985 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,2985) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(186,2985) x common factors =3 x 1 = 3
LCM(186,2985) = ( 186 × 2985 ) / 3
LCM(186,2985) = 555210 / 3
LCM(186,2985) = 185070
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FAQs on GCF of Fractions of 8004/186, 7464/2985
1. What is the HCF of 8004,7464?
The HCF of 8004,7464 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 8004/186, 7464/2985?
Answer: GCF of Numerators as per given numbers 8004/186, 7464/2985 is
GCF of Numerators i.e. for 8004,7464 is 12
LCM of denominators i.e. for 186,2985 is 185070.
Thus, GCF of Fractions is 12/185070.Finally, GCF of Fractions for 8004/186, 7464/2985 is 12/185070.