GCF of 4515/219, 5940/3589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4515/219, 5940/3589 i.e 15/785991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4515/219, 5940/3589.
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 4515/219,5940/3589?
Given fractions are 4515/219,5940/3589
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 4515/219,5940/3589, numerators are 4515,5940
Denominators are 219,3589
The GCF of 4515,5940 is 15 .
LCM of 219,3589 is 785991.
The greatest common factor of 4515/219,5940/3589 = [GCF of 4515,5940]/[LCM of 219,3589]= 15/785991
Therefore, the GCF of 4515/219,5940/3589 is 15/785991.
To find the highest common factor of 4515,5940, we have to find the factors of both numbers and list the highest common factor.
The factors of 4515 are 1, 3, 5, 7, 15, 21, 35, 43, 105, 129, 215, 301, 645, 903, 1505, 4515
The factors of 5940 are 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 27, 30, 33, 36, 44, 45, 54, 55, 60, 66, 90, 99, 108, 110, 132, 135, 165, 180, 198, 220, 270, 297, 330, 396, 495, 540, 594, 660, 990, 1188, 1485, 1980, 2970, 5940
The HCF of 4515,5940 is 15.
Lets's calculate GCF of 4515,5940
| 3 | 4515, 5940 |
| 5 | 1505, 1980 |
| 301, 396 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 4515,5940 By Matching Biggest Common Factor Method
Now, list down the factors of 4515
:1,3,5,7,15,21,35,43,105,129,215,301,645,903,1505,4515
Now, list down the factors of 5940
:1,2,3,4,5,6,9,10,11,12,15,18,20,22,27,30,33,36,44,45,54,55,60,66,90,99,108,110,132,135,165,180,198,220,270,297,330,396,495,540,594,660,990,1188,1485,1980,2970,5940
Greatest Common Factor
We found the factors 4515,5940 . The biggest common factor number is the GCF number.
So the greatest common factor 4515,5940 is 15.
Lets's calculate LCM of 219,3589
Given numbers has no common factors except 1. So, there LCM is their product i.e 785991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/785991
Therefore, the GCF of Fractions 4515/219,5940/3589 is 15/785991
Least Common Multiple of 219,3589 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 219,3589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,3589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,3589) x common factors =1 x 1 = 1
LCM(219,3589) = ( 219 × 3589 ) / 1
LCM(219,3589) = 785991 / 1
LCM(219,3589) = 785991
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4515/219, 5940/3589
1. What is the HCF of 4515,5940?
The HCF of 4515,5940 is 15
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 4515/219, 5940/3589?
Answer: GCF of Numerators as per given numbers 4515/219, 5940/3589 is
GCF of Numerators i.e. for 4515,5940 is 15
LCM of denominators i.e. for 219,3589 is 785991.
Thus, GCF of Fractions is 15/785991.Finally, GCF of Fractions for 4515/219, 5940/3589 is 15/785991.