GCF of 8316/529, 8960/2745
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8316/529, 8960/2745 i.e 28/1452105 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8316/529, 8960/2745.
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 8316/529,8960/2745?
Given fractions are 8316/529,8960/2745
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 8316/529,8960/2745, numerators are 8316,8960
Denominators are 529,2745
The GCF of 8316,8960 is 28 .
LCM of 529,2745 is 1452105.
The greatest common factor of 8316/529,8960/2745 = [GCF of 8316,8960]/[LCM of 529,2745]= 28/1452105
Therefore, the GCF of 8316/529,8960/2745 is 28/1452105.
To find the highest common factor of 8316,8960, 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 8960 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 256, 280, 320, 448, 560, 640, 896, 1120, 1280, 1792, 2240, 4480, 8960
The HCF of 8316,8960 is 28.
Lets's calculate GCF of 8316,8960
| 2 | 8316, 8960 |
| 2 | 4158, 4480 |
| 7 | 2079, 2240 |
| 297, 320 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 8316,8960 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 8960
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,256,280,320,448,560,640,896,1120,1280,1792,2240,4480,8960
Greatest Common Factor
We found the factors 8316,8960 . The biggest common factor number is the GCF number.
So the greatest common factor 8316,8960 is 28.
Lets's calculate LCM of 529,2745
Given numbers has no common factors except 1. So, there LCM is their product i.e 1452105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1452105
Therefore, the GCF of Fractions 8316/529,8960/2745 is 28/1452105
Least Common Multiple of 529,2745 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 529,2745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,2745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,2745) x common factors =1 x 1 = 1
LCM(529,2745) = ( 529 × 2745 ) / 1
LCM(529,2745) = 1452105 / 1
LCM(529,2745) = 1452105
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FAQs on GCF of Fractions of 8316/529, 8960/2745
1. What is the HCF of 8316,8960?
The HCF of 8316,8960 is 28
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 8316/529, 8960/2745?
Answer: GCF of Numerators as per given numbers 8316/529, 8960/2745 is
GCF of Numerators i.e. for 8316,8960 is 28
LCM of denominators i.e. for 529,2745 is 1452105.
Thus, GCF of Fractions is 28/1452105.Finally, GCF of Fractions for 8316/529, 8960/2745 is 28/1452105.