GCF of 2031/686, 8191/198
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2031/686, 8191/198 i.e 1/67914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2031/686, 8191/198.
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 2031/686,8191/198?
Given fractions are 2031/686,8191/198
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 2031/686,8191/198, numerators are 2031,8191
Denominators are 686,198
The GCF of 2031,8191 is 1 .
LCM of 686,198 is 67914.
The greatest common factor of 2031/686,8191/198 = [GCF of 2031,8191]/[LCM of 686,198]= 1/67914
Therefore, the GCF of 2031/686,8191/198 is 1/67914.
To find the highest common factor of 2031,8191, we have to find the factors of both numbers and list the highest common factor.
The factors of 2031 are 1, 3, 677, 2031
The factors of 8191 are 1, 8191
The HCF of 2031,8191 is 1.
Lets's calculate GCF of 2031,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2031,8191 By Matching Biggest Common Factor Method
Now, list down the factors of 2031
:1,3,677,2031
Now, list down the factors of 8191
:1,8191
Greatest Common Factor
We found the factors 2031,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 2031,8191 is 1.
Lets's calculate LCM of 686,198
| 2 | 686, 198 |
| 343, 99 |
∴ So the LCM of the given numbers is 2 x 343 x 99 = 67914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67914
Therefore, the GCF of Fractions 2031/686,8191/198 is 1/67914
Least Common Multiple of 686,198 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 686,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,198) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,198) x common factors =2 x 1 = 2
LCM(686,198) = ( 686 × 198 ) / 2
LCM(686,198) = 135828 / 2
LCM(686,198) = 67914
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FAQs on GCF of Fractions of 2031/686, 8191/198
1. What is the HCF of 2031,8191?
The HCF of 2031,8191 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 2031/686, 8191/198?
Answer: GCF of Numerators as per given numbers 2031/686, 8191/198 is
GCF of Numerators i.e. for 2031,8191 is 1
LCM of denominators i.e. for 686,198 is 67914.
Thus, GCF of Fractions is 1/67914.Finally, GCF of Fractions for 2031/686, 8191/198 is 1/67914.