GCF of 5589/565, 2093/150
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5589/565, 2093/150 i.e 23/16950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5589/565, 2093/150.
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 5589/565,2093/150?
Given fractions are 5589/565,2093/150
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 5589/565,2093/150, numerators are 5589,2093
Denominators are 565,150
The GCF of 5589,2093 is 23 .
LCM of 565,150 is 16950.
The greatest common factor of 5589/565,2093/150 = [GCF of 5589,2093]/[LCM of 565,150]= 23/16950
Therefore, the GCF of 5589/565,2093/150 is 23/16950.
To find the highest common factor of 5589,2093, we have to find the factors of both numbers and list the highest common factor.
The factors of 5589 are 1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 1863, 5589
The factors of 2093 are 1, 7, 13, 23, 91, 161, 299, 2093
The HCF of 5589,2093 is 23.
Lets's calculate GCF of 5589,2093
| 23 | 5589, 2093 |
| 243, 91 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 5589,2093 By Matching Biggest Common Factor Method
Now, list down the factors of 5589
:1,3,9,23,27,69,81,207,243,621,1863,5589
Now, list down the factors of 2093
:1,7,13,23,91,161,299,2093
Greatest Common Factor
We found the factors 5589,2093 . The biggest common factor number is the GCF number.
So the greatest common factor 5589,2093 is 23.
Lets's calculate LCM of 565,150
| 5 | 565, 150 |
| 113, 30 |
∴ So the LCM of the given numbers is 5 x 113 x 30 = 16950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/16950
Therefore, the GCF of Fractions 5589/565,2093/150 is 23/16950
Least Common Multiple of 565,150 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 565,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(565,150) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(565,150) x common factors =5 x 1 = 5
LCM(565,150) = ( 565 × 150 ) / 5
LCM(565,150) = 84750 / 5
LCM(565,150) = 16950
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FAQs on GCF of Fractions of 5589/565, 2093/150
1. What is the HCF of 5589,2093?
The HCF of 5589,2093 is 23
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 5589/565, 2093/150?
Answer: GCF of Numerators as per given numbers 5589/565, 2093/150 is
GCF of Numerators i.e. for 5589,2093 is 23
LCM of denominators i.e. for 565,150 is 16950.
Thus, GCF of Fractions is 23/16950.Finally, GCF of Fractions for 5589/565, 2093/150 is 23/16950.