GCF of 3811/289, 6798/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3811/289, 6798/329 i.e 103/95081 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3811/289, 6798/329.
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 3811/289,6798/329?
Given fractions are 3811/289,6798/329
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 3811/289,6798/329, numerators are 3811,6798
Denominators are 289,329
The GCF of 3811,6798 is 103 .
LCM of 289,329 is 95081.
The greatest common factor of 3811/289,6798/329 = [GCF of 3811,6798]/[LCM of 289,329]= 103/95081
Therefore, the GCF of 3811/289,6798/329 is 103/95081.
To find the highest common factor of 3811,6798, we have to find the factors of both numbers and list the highest common factor.
The factors of 3811 are 1, 37, 103, 3811
The factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798
The HCF of 3811,6798 is 103.
Lets's calculate GCF of 3811,6798
| 103 | 3811, 6798 |
| 37, 66 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 3811,6798 By Matching Biggest Common Factor Method
Now, list down the factors of 3811
:1,37,103,3811
Now, list down the factors of 6798
:1,2,3,6,11,22,33,66,103,206,309,618,1133,2266,3399,6798
Greatest Common Factor
We found the factors 3811,6798 . The biggest common factor number is the GCF number.
So the greatest common factor 3811,6798 is 103.
Lets's calculate LCM of 289,329
Given numbers has no common factors except 1. So, there LCM is their product i.e 95081
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/95081
Therefore, the GCF of Fractions 3811/289,6798/329 is 103/95081
Least Common Multiple of 289,329 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 289,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,329) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,329) x common factors =1 x 1 = 1
LCM(289,329) = ( 289 × 329 ) / 1
LCM(289,329) = 95081 / 1
LCM(289,329) = 95081
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FAQs on GCF of Fractions of 3811/289, 6798/329
1. What is the HCF of 3811,6798?
The HCF of 3811,6798 is 103
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 3811/289, 6798/329?
Answer: GCF of Numerators as per given numbers 3811/289, 6798/329 is
GCF of Numerators i.e. for 3811,6798 is 103
LCM of denominators i.e. for 289,329 is 95081.
Thus, GCF of Fractions is 103/95081.Finally, GCF of Fractions for 3811/289, 6798/329 is 103/95081.