Use our free GCF of Fractions Calculator tool to compute the GCF of 8731/582, 9691/9683 i.e 1/5635506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8731/582, 9691/9683.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8731/582,9691/9683
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 8731/582,9691/9683, numerators are 8731,9691
Denominators are 582,9683
The GCF of 8731,9691 is 1 .
LCM of 582,9683 is 5635506.
The greatest common factor of 8731/582,9691/9683 = [GCF of 8731,9691]/[LCM of 582,9683]= 1/5635506
Therefore, the GCF of 8731/582,9691/9683 is 1/5635506.
To find the highest common factor of 8731,9691, we have to find the factors of both numbers and list the highest common factor.
The factors of 8731 are 1, 8731
The factors of 9691 are 1, 11, 881, 9691
The HCF of 8731,9691 is 1.
Lets's calculate GCF of 8731,9691
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8731
:1,8731
Now, list down the factors of 9691
:1,11,881,9691
Greatest Common Factor
We found the factors 8731,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 8731,9691 is 1.
Lets's calculate LCM of 582,9683
Given numbers has no common factors except 1. So, there LCM is their product i.e 5635506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5635506
Therefore, the GCF of Fractions 8731/582,9691/9683 is 1/5635506
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 582,9683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,9683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(582,9683) x common factors =1 x 1 = 1
LCM(582,9683) = ( 582 × 9683 ) / 1
LCM(582,9683) = 5635506 / 1
LCM(582,9683) = 5635506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8731,9691?
The HCF of 8731,9691 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 8731/582, 9691/9683?
Answer: GCF of Numerators as per given numbers 8731/582, 9691/9683 is
GCF of Numerators i.e. for 8731,9691 is 1
LCM of denominators i.e. for 582,9683 is 5635506.
Thus, GCF of Fractions is 1/5635506.Finally, GCF of Fractions for 8731/582, 9691/9683 is 1/5635506.