GCF of 8191/772, 4092/687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8191/772, 4092/687 i.e 1/530364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8191/772, 4092/687.
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 8191/772,4092/687?
Given fractions are 8191/772,4092/687
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 8191/772,4092/687, numerators are 8191,4092
Denominators are 772,687
The GCF of 8191,4092 is 1 .
LCM of 772,687 is 530364.
The greatest common factor of 8191/772,4092/687 = [GCF of 8191,4092]/[LCM of 772,687]= 1/530364
Therefore, the GCF of 8191/772,4092/687 is 1/530364.
To find the highest common factor of 8191,4092, we have to find the factors of both numbers and list the highest common factor.
The factors of 8191 are 1, 8191
The factors of 4092 are 1, 2, 3, 4, 6, 11, 12, 22, 31, 33, 44, 62, 66, 93, 124, 132, 186, 341, 372, 682, 1023, 1364, 2046, 4092
The HCF of 8191,4092 is 1.
Lets's calculate GCF of 8191,4092
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8191,4092 By Matching Biggest Common Factor Method
Now, list down the factors of 8191
:1,8191
Now, list down the factors of 4092
:1,2,3,4,6,11,12,22,31,33,44,62,66,93,124,132,186,341,372,682,1023,1364,2046,4092
Greatest Common Factor
We found the factors 8191,4092 . The biggest common factor number is the GCF number.
So the greatest common factor 8191,4092 is 1.
Lets's calculate LCM of 772,687
Given numbers has no common factors except 1. So, there LCM is their product i.e 530364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/530364
Therefore, the GCF of Fractions 8191/772,4092/687 is 1/530364
Least Common Multiple of 772,687 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 772,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(772,687) x common factors =1 x 1 = 1
LCM(772,687) = ( 772 × 687 ) / 1
LCM(772,687) = 530364 / 1
LCM(772,687) = 530364
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FAQs on GCF of Fractions of 8191/772, 4092/687
1. What is the HCF of 8191,4092?
The HCF of 8191,4092 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 8191/772, 4092/687?
Answer: GCF of Numerators as per given numbers 8191/772, 4092/687 is
GCF of Numerators i.e. for 8191,4092 is 1
LCM of denominators i.e. for 772,687 is 530364.
Thus, GCF of Fractions is 1/530364.Finally, GCF of Fractions for 8191/772, 4092/687 is 1/530364.