GCF of 8004/876, 5460/5499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8004/876, 5460/5499 i.e 12/1605708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8004/876, 5460/5499.
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 8004/876,5460/5499?
Given fractions are 8004/876,5460/5499
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 8004/876,5460/5499, numerators are 8004,5460
Denominators are 876,5499
The GCF of 8004,5460 is 12 .
LCM of 876,5499 is 1605708.
The greatest common factor of 8004/876,5460/5499 = [GCF of 8004,5460]/[LCM of 876,5499]= 12/1605708
Therefore, the GCF of 8004/876,5460/5499 is 12/1605708.
To find the highest common factor of 8004,5460, 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 5460 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 52, 60, 65, 70, 78, 84, 91, 105, 130, 140, 156, 182, 195, 210, 260, 273, 364, 390, 420, 455, 546, 780, 910, 1092, 1365, 1820, 2730, 5460
The HCF of 8004,5460 is 12.
Lets's calculate GCF of 8004,5460
| 2 | 8004, 5460 |
| 2 | 4002, 2730 |
| 3 | 2001, 1365 |
| 667, 455 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 8004,5460 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 5460
:1,2,3,4,5,6,7,10,12,13,14,15,20,21,26,28,30,35,39,42,52,60,65,70,78,84,91,105,130,140,156,182,195,210,260,273,364,390,420,455,546,780,910,1092,1365,1820,2730,5460
Greatest Common Factor
We found the factors 8004,5460 . The biggest common factor number is the GCF number.
So the greatest common factor 8004,5460 is 12.
Lets's calculate LCM of 876,5499
| 3 | 876, 5499 |
| 292, 1833 |
∴ So the LCM of the given numbers is 3 x 292 x 1833 = 1605708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1605708
Therefore, the GCF of Fractions 8004/876,5460/5499 is 12/1605708
Least Common Multiple of 876,5499 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 876,5499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,5499) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(876,5499) x common factors =3 x 1 = 3
LCM(876,5499) = ( 876 × 5499 ) / 3
LCM(876,5499) = 4817124 / 3
LCM(876,5499) = 1605708
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8004/876, 5460/5499
1. What is the HCF of 8004,5460?
The HCF of 8004,5460 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 8004/876, 5460/5499?
Answer: GCF of Numerators as per given numbers 8004/876, 5460/5499 is
GCF of Numerators i.e. for 8004,5460 is 12
LCM of denominators i.e. for 876,5499 is 1605708.
Thus, GCF of Fractions is 12/1605708.Finally, GCF of Fractions for 8004/876, 5460/5499 is 12/1605708.