GCF of 8640/506, 6058/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8640/506, 6058/204 i.e 2/51612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8640/506, 6058/204.
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 8640/506,6058/204?
Given fractions are 8640/506,6058/204
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 8640/506,6058/204, numerators are 8640,6058
Denominators are 506,204
The GCF of 8640,6058 is 2 .
LCM of 506,204 is 51612.
The greatest common factor of 8640/506,6058/204 = [GCF of 8640,6058]/[LCM of 506,204]= 2/51612
Therefore, the GCF of 8640/506,6058/204 is 2/51612.
To find the highest common factor of 8640,6058, we have to find the factors of both numbers and list the highest common factor.
The factors of 8640 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 135, 144, 160, 180, 192, 216, 240, 270, 288, 320, 360, 432, 480, 540, 576, 720, 864, 960, 1080, 1440, 1728, 2160, 2880, 4320, 8640
The factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058
The HCF of 8640,6058 is 2.
Lets's calculate GCF of 8640,6058
| 2 | 8640, 6058 |
| 4320, 3029 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8640,6058 By Matching Biggest Common Factor Method
Now, list down the factors of 8640
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Now, list down the factors of 6058
:1,2,13,26,233,466,3029,6058
Greatest Common Factor
We found the factors 8640,6058 . The biggest common factor number is the GCF number.
So the greatest common factor 8640,6058 is 2.
Lets's calculate LCM of 506,204
| 2 | 506, 204 |
| 253, 102 |
∴ So the LCM of the given numbers is 2 x 253 x 102 = 51612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/51612
Therefore, the GCF of Fractions 8640/506,6058/204 is 2/51612
Least Common Multiple of 506,204 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 506,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,204) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(506,204) x common factors =2 x 1 = 2
LCM(506,204) = ( 506 × 204 ) / 2
LCM(506,204) = 103224 / 2
LCM(506,204) = 51612
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FAQs on GCF of Fractions of 8640/506, 6058/204
1. What is the HCF of 8640,6058?
The HCF of 8640,6058 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 8640/506, 6058/204?
Answer: GCF of Numerators as per given numbers 8640/506, 6058/204 is
GCF of Numerators i.e. for 8640,6058 is 2
LCM of denominators i.e. for 506,204 is 51612.
Thus, GCF of Fractions is 2/51612.Finally, GCF of Fractions for 8640/506, 6058/204 is 2/51612.