GCF of 9584/299, 6400/5266
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9584/299, 6400/5266 i.e 16/1574534 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9584/299, 6400/5266.
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 9584/299,6400/5266?
Given fractions are 9584/299,6400/5266
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 9584/299,6400/5266, numerators are 9584,6400
Denominators are 299,5266
The GCF of 9584,6400 is 16 .
LCM of 299,5266 is 1574534.
The greatest common factor of 9584/299,6400/5266 = [GCF of 9584,6400]/[LCM of 299,5266]= 16/1574534
Therefore, the GCF of 9584/299,6400/5266 is 16/1574534.
To find the highest common factor of 9584,6400, we have to find the factors of both numbers and list the highest common factor.
The factors of 9584 are 1, 2, 4, 8, 16, 599, 1198, 2396, 4792, 9584
The factors of 6400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 256, 320, 400, 640, 800, 1280, 1600, 3200, 6400
The HCF of 9584,6400 is 16.
Lets's calculate GCF of 9584,6400
| 2 | 9584, 6400 |
| 2 | 4792, 3200 |
| 2 | 2396, 1600 |
| 2 | 1198, 800 |
| 599, 400 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 9584,6400 By Matching Biggest Common Factor Method
Now, list down the factors of 9584
:1,2,4,8,16,599,1198,2396,4792,9584
Now, list down the factors of 6400
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,256,320,400,640,800,1280,1600,3200,6400
Greatest Common Factor
We found the factors 9584,6400 . The biggest common factor number is the GCF number.
So the greatest common factor 9584,6400 is 16.
Lets's calculate LCM of 299,5266
Given numbers has no common factors except 1. So, there LCM is their product i.e 1574534
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1574534
Therefore, the GCF of Fractions 9584/299,6400/5266 is 16/1574534
Least Common Multiple of 299,5266 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 299,5266 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,5266) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,5266) x common factors =1 x 1 = 1
LCM(299,5266) = ( 299 × 5266 ) / 1
LCM(299,5266) = 1574534 / 1
LCM(299,5266) = 1574534
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9584/299, 6400/5266
1. What is the HCF of 9584,6400?
The HCF of 9584,6400 is 16
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 9584/299, 6400/5266?
Answer: GCF of Numerators as per given numbers 9584/299, 6400/5266 is
GCF of Numerators i.e. for 9584,6400 is 16
LCM of denominators i.e. for 299,5266 is 1574534.
Thus, GCF of Fractions is 16/1574534.Finally, GCF of Fractions for 9584/299, 6400/5266 is 16/1574534.