GCF of 806/903, 9600/2364
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 806/903, 9600/2364 i.e 2/711564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 806/903, 9600/2364.
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 806/903,9600/2364?
Given fractions are 806/903,9600/2364
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 806/903,9600/2364, numerators are 806,9600
Denominators are 903,2364
The GCF of 806,9600 is 2 .
LCM of 903,2364 is 711564.
The greatest common factor of 806/903,9600/2364 = [GCF of 806,9600]/[LCM of 903,2364]= 2/711564
Therefore, the GCF of 806/903,9600/2364 is 2/711564.
To find the highest common factor of 806,9600, we have to find the factors of both numbers and list the highest common factor.
The factors of 806 are 1, 2, 13, 26, 31, 62, 403, 806
The factors of 9600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 128, 150, 160, 192, 200, 240, 300, 320, 384, 400, 480, 600, 640, 800, 960, 1200, 1600, 1920, 2400, 3200, 4800, 9600
The HCF of 806,9600 is 2.
Lets's calculate GCF of 806,9600
| 2 | 806, 9600 |
| 403, 4800 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 806,9600 By Matching Biggest Common Factor Method
Now, list down the factors of 806
:1,2,13,26,31,62,403,806
Now, list down the factors of 9600
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,128,150,160,192,200,240,300,320,384,400,480,600,640,800,960,1200,1600,1920,2400,3200,4800,9600
Greatest Common Factor
We found the factors 806,9600 . The biggest common factor number is the GCF number.
So the greatest common factor 806,9600 is 2.
Lets's calculate LCM of 903,2364
| 3 | 903, 2364 |
| 301, 788 |
∴ So the LCM of the given numbers is 3 x 301 x 788 = 711564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/711564
Therefore, the GCF of Fractions 806/903,9600/2364 is 2/711564
Least Common Multiple of 903,2364 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 903,2364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,2364) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,2364) x common factors =3 x 1 = 3
LCM(903,2364) = ( 903 × 2364 ) / 3
LCM(903,2364) = 2134692 / 3
LCM(903,2364) = 711564
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FAQs on GCF of Fractions of 806/903, 9600/2364
1. What is the HCF of 806,9600?
The HCF of 806,9600 is 2
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 806/903, 9600/2364?
Answer: GCF of Numerators as per given numbers 806/903, 9600/2364 is
GCF of Numerators i.e. for 806,9600 is 2
LCM of denominators i.e. for 903,2364 is 711564.
Thus, GCF of Fractions is 2/711564.Finally, GCF of Fractions for 806/903, 9600/2364 is 2/711564.