GCF of 8670/519, 5355/9144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8670/519, 5355/9144 i.e 255/1581912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8670/519, 5355/9144.
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 8670/519,5355/9144?
Given fractions are 8670/519,5355/9144
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 8670/519,5355/9144, numerators are 8670,5355
Denominators are 519,9144
The GCF of 8670,5355 is 255 .
LCM of 519,9144 is 1581912.
The greatest common factor of 8670/519,5355/9144 = [GCF of 8670,5355]/[LCM of 519,9144]= 255/1581912
Therefore, the GCF of 8670/519,5355/9144 is 255/1581912.
To find the highest common factor of 8670,5355, we have to find the factors of both numbers and list the highest common factor.
The factors of 8670 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 289, 510, 578, 867, 1445, 1734, 2890, 4335, 8670
The factors of 5355 are 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355
The HCF of 8670,5355 is 255.
Lets's calculate GCF of 8670,5355
| 3 | 8670, 5355 |
| 5 | 2890, 1785 |
| 17 | 578, 357 |
| 34, 21 |
∴ So the GCF of the given numbers is 3 x 5 x 17 = 255
Greatest Common Factor of 8670,5355 By Matching Biggest Common Factor Method
Now, list down the factors of 8670
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,289,510,578,867,1445,1734,2890,4335,8670
Now, list down the factors of 5355
:1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355
Greatest Common Factor
We found the factors 8670,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 8670,5355 is 255.
Lets's calculate LCM of 519,9144
| 3 | 519, 9144 |
| 173, 3048 |
∴ So the LCM of the given numbers is 3 x 173 x 3048 = 1581912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 255/1581912
Therefore, the GCF of Fractions 8670/519,5355/9144 is 255/1581912
Least Common Multiple of 519,9144 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 519,9144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,9144) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,9144) x common factors =3 x 1 = 3
LCM(519,9144) = ( 519 × 9144 ) / 3
LCM(519,9144) = 4745736 / 3
LCM(519,9144) = 1581912
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8670/519, 5355/9144
1. What is the HCF of 8670,5355?
The HCF of 8670,5355 is 255
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 8670/519, 5355/9144?
Answer: GCF of Numerators as per given numbers 8670/519, 5355/9144 is
GCF of Numerators i.e. for 8670,5355 is 255
LCM of denominators i.e. for 519,9144 is 1581912.
Thus, GCF of Fractions is 255/1581912.Finally, GCF of Fractions for 8670/519, 5355/9144 is 255/1581912.