GCF of 5841/204, 2841/631
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5841/204, 2841/631 i.e 3/128724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5841/204, 2841/631.
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 5841/204,2841/631?
Given fractions are 5841/204,2841/631
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 5841/204,2841/631, numerators are 5841,2841
Denominators are 204,631
The GCF of 5841,2841 is 3 .
LCM of 204,631 is 128724.
The greatest common factor of 5841/204,2841/631 = [GCF of 5841,2841]/[LCM of 204,631]= 3/128724
Therefore, the GCF of 5841/204,2841/631 is 3/128724.
To find the highest common factor of 5841,2841, we have to find the factors of both numbers and list the highest common factor.
The factors of 5841 are 1, 3, 9, 11, 33, 59, 99, 177, 531, 649, 1947, 5841
The factors of 2841 are 1, 3, 947, 2841
The HCF of 5841,2841 is 3.
Lets's calculate GCF of 5841,2841
| 3 | 5841, 2841 |
| 1947, 947 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5841,2841 By Matching Biggest Common Factor Method
Now, list down the factors of 5841
:1,3,9,11,33,59,99,177,531,649,1947,5841
Now, list down the factors of 2841
:1,3,947,2841
Greatest Common Factor
We found the factors 5841,2841 . The biggest common factor number is the GCF number.
So the greatest common factor 5841,2841 is 3.
Lets's calculate LCM of 204,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 128724
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/128724
Therefore, the GCF of Fractions 5841/204,2841/631 is 3/128724
Least Common Multiple of 204,631 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 204,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(204,631) x common factors =1 x 1 = 1
LCM(204,631) = ( 204 × 631 ) / 1
LCM(204,631) = 128724 / 1
LCM(204,631) = 128724
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FAQs on GCF of Fractions of 5841/204, 2841/631
1. What is the HCF of 5841,2841?
The HCF of 5841,2841 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 5841/204, 2841/631?
Answer: GCF of Numerators as per given numbers 5841/204, 2841/631 is
GCF of Numerators i.e. for 5841,2841 is 3
LCM of denominators i.e. for 204,631 is 128724.
Thus, GCF of Fractions is 3/128724.Finally, GCF of Fractions for 5841/204, 2841/631 is 3/128724.