Use our free GCF of Fractions Calculator tool to compute the GCF of 8311/331, 9533/7835 i.e 1/2593385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8311/331, 9533/7835.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8311/331,9533/7835
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 8311/331,9533/7835, numerators are 8311,9533
Denominators are 331,7835
The GCF of 8311,9533 is 1 .
LCM of 331,7835 is 2593385.
The greatest common factor of 8311/331,9533/7835 = [GCF of 8311,9533]/[LCM of 331,7835]= 1/2593385
Therefore, the GCF of 8311/331,9533/7835 is 1/2593385.
To find the highest common factor of 8311,9533, we have to find the factors of both numbers and list the highest common factor.
The factors of 8311 are 1, 8311
The factors of 9533 are 1, 9533
The HCF of 8311,9533 is 1.
Lets's calculate GCF of 8311,9533
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8311
:1,8311
Now, list down the factors of 9533
:1,9533
Greatest Common Factor
We found the factors 8311,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 8311,9533 is 1.
Lets's calculate LCM of 331,7835
Given numbers has no common factors except 1. So, there LCM is their product i.e 2593385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2593385
Therefore, the GCF of Fractions 8311/331,9533/7835 is 1/2593385
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 331,7835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,7835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,7835) x common factors =1 x 1 = 1
LCM(331,7835) = ( 331 × 7835 ) / 1
LCM(331,7835) = 2593385 / 1
LCM(331,7835) = 2593385
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8311,9533?
The HCF of 8311,9533 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 8311/331, 9533/7835?
Answer: GCF of Numerators as per given numbers 8311/331, 9533/7835 is
GCF of Numerators i.e. for 8311,9533 is 1
LCM of denominators i.e. for 331,7835 is 2593385.
Thus, GCF of Fractions is 1/2593385.Finally, GCF of Fractions for 8311/331, 9533/7835 is 1/2593385.