GCF of 55/864, 8640/9627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 55/864, 8640/9627 i.e 5/2772576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 55/864, 8640/9627.
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 55/864,8640/9627?
Given fractions are 55/864,8640/9627
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 55/864,8640/9627, numerators are 55,8640
Denominators are 864,9627
The GCF of 55,8640 is 5 .
LCM of 864,9627 is 2772576.
The greatest common factor of 55/864,8640/9627 = [GCF of 55,8640]/[LCM of 864,9627]= 5/2772576
Therefore, the GCF of 55/864,8640/9627 is 5/2772576.
To find the highest common factor of 55,8640, we have to find the factors of both numbers and list the highest common factor.
The factors of 55 are 1, 5, 11, 55
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 HCF of 55,8640 is 5.
Lets's calculate GCF of 55,8640
| 5 | 55, 8640 |
| 11, 1728 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 55,8640 By Matching Biggest Common Factor Method
Now, list down the factors of 55
:1,5,11,55
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
Greatest Common Factor
We found the factors 55,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 55,8640 is 5.
Lets's calculate LCM of 864,9627
| 3 | 864, 9627 |
| 288, 3209 |
∴ So the LCM of the given numbers is 3 x 288 x 3209 = 2772576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2772576
Therefore, the GCF of Fractions 55/864,8640/9627 is 5/2772576
Least Common Multiple of 864,9627 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 864,9627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,9627) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(864,9627) x common factors =3 x 1 = 3
LCM(864,9627) = ( 864 × 9627 ) / 3
LCM(864,9627) = 8317728 / 3
LCM(864,9627) = 2772576
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FAQs on GCF of Fractions of 55/864, 8640/9627
1. What is the HCF of 55,8640?
The HCF of 55,8640 is 5
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 55/864, 8640/9627?
Answer: GCF of Numerators as per given numbers 55/864, 8640/9627 is
GCF of Numerators i.e. for 55,8640 is 5
LCM of denominators i.e. for 864,9627 is 2772576.
Thus, GCF of Fractions is 5/2772576.Finally, GCF of Fractions for 55/864, 8640/9627 is 5/2772576.