GCF of 3837/384, 8191/5859
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3837/384, 8191/5859 i.e 1/749952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3837/384, 8191/5859.
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 3837/384,8191/5859?
Given fractions are 3837/384,8191/5859
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 3837/384,8191/5859, numerators are 3837,8191
Denominators are 384,5859
The GCF of 3837,8191 is 1 .
LCM of 384,5859 is 749952.
The greatest common factor of 3837/384,8191/5859 = [GCF of 3837,8191]/[LCM of 384,5859]= 1/749952
Therefore, the GCF of 3837/384,8191/5859 is 1/749952.
To find the highest common factor of 3837,8191, we have to find the factors of both numbers and list the highest common factor.
The factors of 3837 are 1, 3, 1279, 3837
The factors of 8191 are 1, 8191
The HCF of 3837,8191 is 1.
Lets's calculate GCF of 3837,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3837,8191 By Matching Biggest Common Factor Method
Now, list down the factors of 3837
:1,3,1279,3837
Now, list down the factors of 8191
:1,8191
Greatest Common Factor
We found the factors 3837,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 3837,8191 is 1.
Lets's calculate LCM of 384,5859
| 3 | 384, 5859 |
| 128, 1953 |
∴ So the LCM of the given numbers is 3 x 128 x 1953 = 749952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749952
Therefore, the GCF of Fractions 3837/384,8191/5859 is 1/749952
Least Common Multiple of 384,5859 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 384,5859 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,5859) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(384,5859) x common factors =3 x 1 = 3
LCM(384,5859) = ( 384 × 5859 ) / 3
LCM(384,5859) = 2249856 / 3
LCM(384,5859) = 749952
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3837/384, 8191/5859
1. What is the HCF of 3837,8191?
The HCF of 3837,8191 is 1
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 3837/384, 8191/5859?
Answer: GCF of Numerators as per given numbers 3837/384, 8191/5859 is
GCF of Numerators i.e. for 3837,8191 is 1
LCM of denominators i.e. for 384,5859 is 749952.
Thus, GCF of Fractions is 1/749952.Finally, GCF of Fractions for 3837/384, 8191/5859 is 1/749952.