GCF of 8316/243, 5760/7592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8316/243, 5760/7592 i.e 36/1844856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8316/243, 5760/7592.
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 8316/243,5760/7592?
Given fractions are 8316/243,5760/7592
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 8316/243,5760/7592, numerators are 8316,5760
Denominators are 243,7592
The GCF of 8316,5760 is 36 .
LCM of 243,7592 is 1844856.
The greatest common factor of 8316/243,5760/7592 = [GCF of 8316,5760]/[LCM of 243,7592]= 36/1844856
Therefore, the GCF of 8316/243,5760/7592 is 36/1844856.
To find the highest common factor of 8316,5760, we have to find the factors of both numbers and list the highest common factor.
The factors of 8316 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 27, 28, 33, 36, 42, 44, 54, 63, 66, 77, 84, 99, 108, 126, 132, 154, 189, 198, 231, 252, 297, 308, 378, 396, 462, 594, 693, 756, 924, 1188, 1386, 2079, 2772, 4158, 8316
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 HCF of 8316,5760 is 36.
Lets's calculate GCF of 8316,5760
| 2 | 8316, 5760 |
| 2 | 4158, 2880 |
| 3 | 2079, 1440 |
| 3 | 693, 480 |
| 231, 160 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36
Greatest Common Factor of 8316,5760 By Matching Biggest Common Factor Method
Now, list down the factors of 8316
:1,2,3,4,6,7,9,11,12,14,18,21,22,27,28,33,36,42,44,54,63,66,77,84,99,108,126,132,154,189,198,231,252,297,308,378,396,462,594,693,756,924,1188,1386,2079,2772,4158,8316
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
Greatest Common Factor
We found the factors 8316,5760 . The biggest common factor number is the GCF number.
So the greatest common factor 8316,5760 is 36.
Lets's calculate LCM of 243,7592
Given numbers has no common factors except 1. So, there LCM is their product i.e 1844856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/1844856
Therefore, the GCF of Fractions 8316/243,5760/7592 is 36/1844856
Least Common Multiple of 243,7592 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 243,7592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,7592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,7592) x common factors =1 x 1 = 1
LCM(243,7592) = ( 243 × 7592 ) / 1
LCM(243,7592) = 1844856 / 1
LCM(243,7592) = 1844856
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FAQs on GCF of Fractions of 8316/243, 5760/7592
1. What is the HCF of 8316,5760?
The HCF of 8316,5760 is 36
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 8316/243, 5760/7592?
Answer: GCF of Numerators as per given numbers 8316/243, 5760/7592 is
GCF of Numerators i.e. for 8316,5760 is 36
LCM of denominators i.e. for 243,7592 is 1844856.
Thus, GCF of Fractions is 36/1844856.Finally, GCF of Fractions for 8316/243, 5760/7592 is 36/1844856.