GCF of 891/590, 5889/1458
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 891/590, 5889/1458 i.e 3/430110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 891/590, 5889/1458.
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 891/590,5889/1458?
Given fractions are 891/590,5889/1458
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 891/590,5889/1458, numerators are 891,5889
Denominators are 590,1458
The GCF of 891,5889 is 3 .
LCM of 590,1458 is 430110.
The greatest common factor of 891/590,5889/1458 = [GCF of 891,5889]/[LCM of 590,1458]= 3/430110
Therefore, the GCF of 891/590,5889/1458 is 3/430110.
To find the highest common factor of 891,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 891,5889 is 3.
Lets's calculate GCF of 891,5889
| 3 | 891, 5889 |
| 297, 1963 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 891,5889 By Matching Biggest Common Factor Method
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 891,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 891,5889 is 3.
Lets's calculate LCM of 590,1458
| 2 | 590, 1458 |
| 295, 729 |
∴ So the LCM of the given numbers is 2 x 295 x 729 = 430110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/430110
Therefore, the GCF of Fractions 891/590,5889/1458 is 3/430110
Least Common Multiple of 590,1458 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 590,1458 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,1458) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,1458) x common factors =2 x 1 = 2
LCM(590,1458) = ( 590 × 1458 ) / 2
LCM(590,1458) = 860220 / 2
LCM(590,1458) = 430110
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FAQs on GCF of Fractions of 891/590, 5889/1458
1. What is the HCF of 891,5889?
The HCF of 891,5889 is 3
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 891/590, 5889/1458?
Answer: GCF of Numerators as per given numbers 891/590, 5889/1458 is
GCF of Numerators i.e. for 891,5889 is 3
LCM of denominators i.e. for 590,1458 is 430110.
Thus, GCF of Fractions is 3/430110.Finally, GCF of Fractions for 891/590, 5889/1458 is 3/430110.