GCF of 2728/589, 3296/7099
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2728/589, 3296/7099 i.e 8/134881 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2728/589, 3296/7099.
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 2728/589,3296/7099?
Given fractions are 2728/589,3296/7099
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 2728/589,3296/7099, numerators are 2728,3296
Denominators are 589,7099
The GCF of 2728,3296 is 8 .
LCM of 589,7099 is 134881.
The greatest common factor of 2728/589,3296/7099 = [GCF of 2728,3296]/[LCM of 589,7099]= 8/134881
Therefore, the GCF of 2728/589,3296/7099 is 8/134881.
To find the highest common factor of 2728,3296, we have to find the factors of both numbers and list the highest common factor.
The factors of 2728 are 1, 2, 4, 8, 11, 22, 31, 44, 62, 88, 124, 248, 341, 682, 1364, 2728
The factors of 3296 are 1, 2, 4, 8, 16, 32, 103, 206, 412, 824, 1648, 3296
The HCF of 2728,3296 is 8.
Lets's calculate GCF of 2728,3296
| 2 | 2728, 3296 |
| 2 | 1364, 1648 |
| 2 | 682, 824 |
| 341, 412 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2728,3296 By Matching Biggest Common Factor Method
Now, list down the factors of 2728
:1,2,4,8,11,22,31,44,62,88,124,248,341,682,1364,2728
Now, list down the factors of 3296
:1,2,4,8,16,32,103,206,412,824,1648,3296
Greatest Common Factor
We found the factors 2728,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 2728,3296 is 8.
Lets's calculate LCM of 589,7099
| 31 | 589, 7099 |
| 19, 229 |
∴ So the LCM of the given numbers is 31 x 19 x 229 = 134881
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/134881
Therefore, the GCF of Fractions 2728/589,3296/7099 is 8/134881
Least Common Multiple of 589,7099 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 589,7099 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(589,7099) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(589,7099) x common factors =31 x 1 = 31
LCM(589,7099) = ( 589 × 7099 ) / 31
LCM(589,7099) = 4181311 / 31
LCM(589,7099) = 134881
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FAQs on GCF of Fractions of 2728/589, 3296/7099
1. What is the HCF of 2728,3296?
The HCF of 2728,3296 is 8
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 2728/589, 3296/7099?
Answer: GCF of Numerators as per given numbers 2728/589, 3296/7099 is
GCF of Numerators i.e. for 2728,3296 is 8
LCM of denominators i.e. for 589,7099 is 134881.
Thus, GCF of Fractions is 8/134881.Finally, GCF of Fractions for 2728/589, 3296/7099 is 8/134881.