GCF of 9381/311, 5889/5841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9381/311, 5889/5841 i.e 3/1816551 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9381/311, 5889/5841.
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 9381/311,5889/5841?
Given fractions are 9381/311,5889/5841
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 9381/311,5889/5841, numerators are 9381,5889
Denominators are 311,5841
The GCF of 9381,5889 is 3 .
LCM of 311,5841 is 1816551.
The greatest common factor of 9381/311,5889/5841 = [GCF of 9381,5889]/[LCM of 311,5841]= 3/1816551
Therefore, the GCF of 9381/311,5889/5841 is 3/1816551.
To find the highest common factor of 9381,5889, we have to find the factors of both numbers and list the highest common factor.
The factors of 9381 are 1, 3, 53, 59, 159, 177, 3127, 9381
The factors of 5889 are 1, 3, 13, 39, 151, 453, 1963, 5889
The HCF of 9381,5889 is 3.
Lets's calculate GCF of 9381,5889
| 3 | 9381, 5889 |
| 3127, 1963 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9381,5889 By Matching Biggest Common Factor Method
Now, list down the factors of 9381
:1,3,53,59,159,177,3127,9381
Now, list down the factors of 5889
:1,3,13,39,151,453,1963,5889
Greatest Common Factor
We found the factors 9381,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 9381,5889 is 3.
Lets's calculate LCM of 311,5841
Given numbers has no common factors except 1. So, there LCM is their product i.e 1816551
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1816551
Therefore, the GCF of Fractions 9381/311,5889/5841 is 3/1816551
Least Common Multiple of 311,5841 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 311,5841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,5841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,5841) x common factors =1 x 1 = 1
LCM(311,5841) = ( 311 × 5841 ) / 1
LCM(311,5841) = 1816551 / 1
LCM(311,5841) = 1816551
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FAQs on GCF of Fractions of 9381/311, 5889/5841
1. What is the HCF of 9381,5889?
The HCF of 9381,5889 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 9381/311, 5889/5841?
Answer: GCF of Numerators as per given numbers 9381/311, 5889/5841 is
GCF of Numerators i.e. for 9381,5889 is 3
LCM of denominators i.e. for 311,5841 is 1816551.
Thus, GCF of Fractions is 3/1816551.Finally, GCF of Fractions for 9381/311, 5889/5841 is 3/1816551.