GCF of 2720/589, 5576/6365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2720/589, 5576/6365 i.e 136/197315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2720/589, 5576/6365.
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 2720/589,5576/6365?
Given fractions are 2720/589,5576/6365
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 2720/589,5576/6365, numerators are 2720,5576
Denominators are 589,6365
The GCF of 2720,5576 is 136 .
LCM of 589,6365 is 197315.
The greatest common factor of 2720/589,5576/6365 = [GCF of 2720,5576]/[LCM of 589,6365]= 136/197315
Therefore, the GCF of 2720/589,5576/6365 is 136/197315.
To find the highest common factor of 2720,5576, we have to find the factors of both numbers and list the highest common factor.
The factors of 2720 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The HCF of 2720,5576 is 136.
Lets's calculate GCF of 2720,5576
| 2 | 2720, 5576 |
| 2 | 1360, 2788 |
| 2 | 680, 1394 |
| 17 | 340, 697 |
| 20, 41 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136
Greatest Common Factor of 2720,5576 By Matching Biggest Common Factor Method
Now, list down the factors of 2720
:1,2,4,5,8,10,16,17,20,32,34,40,68,80,85,136,160,170,272,340,544,680,1360,2720
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Greatest Common Factor
We found the factors 2720,5576 . The biggest common factor number is the GCF number.
So the greatest common factor 2720,5576 is 136.
Lets's calculate LCM of 589,6365
| 19 | 589, 6365 |
| 31, 335 |
∴ So the LCM of the given numbers is 19 x 31 x 335 = 197315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/197315
Therefore, the GCF of Fractions 2720/589,5576/6365 is 136/197315
Least Common Multiple of 589,6365 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 589,6365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,6365) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(589,6365) x common factors =19 x 1 = 19
LCM(589,6365) = ( 589 × 6365 ) / 19
LCM(589,6365) = 3748985 / 19
LCM(589,6365) = 197315
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FAQs on GCF of Fractions of 2720/589, 5576/6365
1. What is the HCF of 2720,5576?
The HCF of 2720,5576 is 136
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 2720/589, 5576/6365?
Answer: GCF of Numerators as per given numbers 2720/589, 5576/6365 is
GCF of Numerators i.e. for 2720,5576 is 136
LCM of denominators i.e. for 589,6365 is 197315.
Thus, GCF of Fractions is 136/197315.Finally, GCF of Fractions for 2720/589, 5576/6365 is 136/197315.