GCF of 7664/210, 4060/2589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7664/210, 4060/2589 i.e 4/181230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7664/210, 4060/2589.
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 7664/210,4060/2589?
Given fractions are 7664/210,4060/2589
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 7664/210,4060/2589, numerators are 7664,4060
Denominators are 210,2589
The GCF of 7664,4060 is 4 .
LCM of 210,2589 is 181230.
The greatest common factor of 7664/210,4060/2589 = [GCF of 7664,4060]/[LCM of 210,2589]= 4/181230
Therefore, the GCF of 7664/210,4060/2589 is 4/181230.
To find the highest common factor of 7664,4060, we have to find the factors of both numbers and list the highest common factor.
The factors of 7664 are 1, 2, 4, 8, 16, 479, 958, 1916, 3832, 7664
The factors of 4060 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 29, 35, 58, 70, 116, 140, 145, 203, 290, 406, 580, 812, 1015, 2030, 4060
The HCF of 7664,4060 is 4.
Lets's calculate GCF of 7664,4060
| 2 | 7664, 4060 |
| 2 | 3832, 2030 |
| 1916, 1015 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7664,4060 By Matching Biggest Common Factor Method
Now, list down the factors of 7664
:1,2,4,8,16,479,958,1916,3832,7664
Now, list down the factors of 4060
:1,2,4,5,7,10,14,20,28,29,35,58,70,116,140,145,203,290,406,580,812,1015,2030,4060
Greatest Common Factor
We found the factors 7664,4060 . The biggest common factor number is the GCF number.
So the greatest common factor 7664,4060 is 4.
Lets's calculate LCM of 210,2589
| 3 | 210, 2589 |
| 70, 863 |
∴ So the LCM of the given numbers is 3 x 70 x 863 = 181230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/181230
Therefore, the GCF of Fractions 7664/210,4060/2589 is 4/181230
Least Common Multiple of 210,2589 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 210,2589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(210,2589) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(210,2589) x common factors =3 x 1 = 3
LCM(210,2589) = ( 210 × 2589 ) / 3
LCM(210,2589) = 543690 / 3
LCM(210,2589) = 181230
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7664/210, 4060/2589
1. What is the HCF of 7664,4060?
The HCF of 7664,4060 is 4
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 7664/210, 4060/2589?
Answer: GCF of Numerators as per given numbers 7664/210, 4060/2589 is
GCF of Numerators i.e. for 7664,4060 is 4
LCM of denominators i.e. for 210,2589 is 181230.
Thus, GCF of Fractions is 4/181230.Finally, GCF of Fractions for 7664/210, 4060/2589 is 4/181230.