GCF of 8160/285, 6264/8318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8160/285, 6264/8318 i.e 24/2370630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8160/285, 6264/8318.
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 8160/285,6264/8318?
Given fractions are 8160/285,6264/8318
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 8160/285,6264/8318, numerators are 8160,6264
Denominators are 285,8318
The GCF of 8160,6264 is 24 .
LCM of 285,8318 is 2370630.
The greatest common factor of 8160/285,6264/8318 = [GCF of 8160,6264]/[LCM of 285,8318]= 24/2370630
Therefore, the GCF of 8160/285,6264/8318 is 24/2370630.
To find the highest common factor of 8160,6264, we have to find the factors of both numbers and list the highest common factor.
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The factors of 6264 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 29, 36, 54, 58, 72, 87, 108, 116, 174, 216, 232, 261, 348, 522, 696, 783, 1044, 1566, 2088, 3132, 6264
The HCF of 8160,6264 is 24.
Lets's calculate GCF of 8160,6264
| 2 | 8160, 6264 |
| 2 | 4080, 3132 |
| 2 | 2040, 1566 |
| 3 | 1020, 783 |
| 340, 261 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 8160,6264 By Matching Biggest Common Factor Method
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Now, list down the factors of 6264
:1,2,3,4,6,8,9,12,18,24,27,29,36,54,58,72,87,108,116,174,216,232,261,348,522,696,783,1044,1566,2088,3132,6264
Greatest Common Factor
We found the factors 8160,6264 . The biggest common factor number is the GCF number.
So the greatest common factor 8160,6264 is 24.
Lets's calculate LCM of 285,8318
Given numbers has no common factors except 1. So, there LCM is their product i.e 2370630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2370630
Therefore, the GCF of Fractions 8160/285,6264/8318 is 24/2370630
Least Common Multiple of 285,8318 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 285,8318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,8318) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,8318) x common factors =1 x 1 = 1
LCM(285,8318) = ( 285 × 8318 ) / 1
LCM(285,8318) = 2370630 / 1
LCM(285,8318) = 2370630
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FAQs on GCF of Fractions of 8160/285, 6264/8318
1. What is the HCF of 8160,6264?
The HCF of 8160,6264 is 24
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 8160/285, 6264/8318?
Answer: GCF of Numerators as per given numbers 8160/285, 6264/8318 is
GCF of Numerators i.e. for 8160,6264 is 24
LCM of denominators i.e. for 285,8318 is 2370630.
Thus, GCF of Fractions is 24/2370630.Finally, GCF of Fractions for 8160/285, 6264/8318 is 24/2370630.