GCF of 5760/269, 9966/5537
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5760/269, 9966/5537 i.e 6/1489453 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5760/269, 9966/5537.
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 5760/269,9966/5537?
Given fractions are 5760/269,9966/5537
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 5760/269,9966/5537, numerators are 5760,9966
Denominators are 269,5537
The GCF of 5760,9966 is 6 .
LCM of 269,5537 is 1489453.
The greatest common factor of 5760/269,9966/5537 = [GCF of 5760,9966]/[LCM of 269,5537]= 6/1489453
Therefore, the GCF of 5760/269,9966/5537 is 6/1489453.
To find the highest common factor of 5760,9966, we have to find the factors of both numbers and list the highest common factor.
The factors of 5760 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 64, 72, 80, 90, 96, 120, 128, 144, 160, 180, 192, 240, 288, 320, 360, 384, 480, 576, 640, 720, 960, 1152, 1440, 1920, 2880, 5760
The factors of 9966 are 1, 2, 3, 6, 11, 22, 33, 66, 151, 302, 453, 906, 1661, 3322, 4983, 9966
The HCF of 5760,9966 is 6.
Lets's calculate GCF of 5760,9966
| 2 | 5760, 9966 |
| 3 | 2880, 4983 |
| 960, 1661 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5760,9966 By Matching Biggest Common Factor Method
Now, list down the factors of 5760
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,32,36,40,45,48,60,64,72,80,90,96,120,128,144,160,180,192,240,288,320,360,384,480,576,640,720,960,1152,1440,1920,2880,5760
Now, list down the factors of 9966
:1,2,3,6,11,22,33,66,151,302,453,906,1661,3322,4983,9966
Greatest Common Factor
We found the factors 5760,9966 . The biggest common factor number is the GCF number.
So the greatest common factor 5760,9966 is 6.
Lets's calculate LCM of 269,5537
Given numbers has no common factors except 1. So, there LCM is their product i.e 1489453
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1489453
Therefore, the GCF of Fractions 5760/269,9966/5537 is 6/1489453
Least Common Multiple of 269,5537 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 269,5537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(269,5537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(269,5537) x common factors =1 x 1 = 1
LCM(269,5537) = ( 269 × 5537 ) / 1
LCM(269,5537) = 1489453 / 1
LCM(269,5537) = 1489453
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FAQs on GCF of Fractions of 5760/269, 9966/5537
1. What is the HCF of 5760,9966?
The HCF of 5760,9966 is 6
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 5760/269, 9966/5537?
Answer: GCF of Numerators as per given numbers 5760/269, 9966/5537 is
GCF of Numerators i.e. for 5760,9966 is 6
LCM of denominators i.e. for 269,5537 is 1489453.
Thus, GCF of Fractions is 6/1489453.Finally, GCF of Fractions for 5760/269, 9966/5537 is 6/1489453.