GCF of 510/609, 3280/4604
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 510/609, 3280/4604 i.e 10/2803836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/609, 3280/4604.
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 510/609,3280/4604?
Given fractions are 510/609,3280/4604
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 510/609,3280/4604, numerators are 510,3280
Denominators are 609,4604
The GCF of 510,3280 is 10 .
LCM of 609,4604 is 2803836.
The greatest common factor of 510/609,3280/4604 = [GCF of 510,3280]/[LCM of 609,4604]= 10/2803836
Therefore, the GCF of 510/609,3280/4604 is 10/2803836.
To find the highest common factor of 510,3280, we have to find the factors of both numbers and list the highest common factor.
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 3280 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 41, 80, 82, 164, 205, 328, 410, 656, 820, 1640, 3280
The HCF of 510,3280 is 10.
Lets's calculate GCF of 510,3280
| 2 | 510, 3280 |
| 5 | 255, 1640 |
| 51, 328 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 510,3280 By Matching Biggest Common Factor Method
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 3280
:1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280
Greatest Common Factor
We found the factors 510,3280 . The biggest common factor number is the GCF number.
So the greatest common factor 510,3280 is 10.
Lets's calculate LCM of 609,4604
Given numbers has no common factors except 1. So, there LCM is their product i.e 2803836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2803836
Therefore, the GCF of Fractions 510/609,3280/4604 is 10/2803836
Least Common Multiple of 609,4604 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 609,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,4604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,4604) x common factors =1 x 1 = 1
LCM(609,4604) = ( 609 × 4604 ) / 1
LCM(609,4604) = 2803836 / 1
LCM(609,4604) = 2803836
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 510/609, 3280/4604
1. What is the HCF of 510,3280?
The HCF of 510,3280 is 10
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 510/609, 3280/4604?
Answer: GCF of Numerators as per given numbers 510/609, 3280/4604 is
GCF of Numerators i.e. for 510,3280 is 10
LCM of denominators i.e. for 609,4604 is 2803836.
Thus, GCF of Fractions is 10/2803836.Finally, GCF of Fractions for 510/609, 3280/4604 is 10/2803836.