Use our free GCF of Fractions Calculator tool to compute the GCF of 7301/404, 8969/771 i.e 1/311484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7301/404, 8969/771.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7301/404,8969/771
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 7301/404,8969/771, numerators are 7301,8969
Denominators are 404,771
The GCF of 7301,8969 is 1 .
LCM of 404,771 is 311484.
The greatest common factor of 7301/404,8969/771 = [GCF of 7301,8969]/[LCM of 404,771]= 1/311484
Therefore, the GCF of 7301/404,8969/771 is 1/311484.
To find the highest common factor of 7301,8969, we have to find the factors of both numbers and list the highest common factor.
The factors of 7301 are 1, 7, 49, 149, 1043, 7301
The factors of 8969 are 1, 8969
The HCF of 7301,8969 is 1.
Lets's calculate GCF of 7301,8969
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7301
:1,7,49,149,1043,7301
Now, list down the factors of 8969
:1,8969
Greatest Common Factor
We found the factors 7301,8969 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,8969 is 1.
Lets's calculate LCM of 404,771
Given numbers has no common factors except 1. So, there LCM is their product i.e 311484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311484
Therefore, the GCF of Fractions 7301/404,8969/771 is 1/311484
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 404,771 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,771) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,771) x common factors =1 x 1 = 1
LCM(404,771) = ( 404 × 771 ) / 1
LCM(404,771) = 311484 / 1
LCM(404,771) = 311484
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7301,8969?
The HCF of 7301,8969 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 7301/404, 8969/771?
Answer: GCF of Numerators as per given numbers 7301/404, 8969/771 is
GCF of Numerators i.e. for 7301,8969 is 1
LCM of denominators i.e. for 404,771 is 311484.
Thus, GCF of Fractions is 1/311484.Finally, GCF of Fractions for 7301/404, 8969/771 is 1/311484.