Use our free GCF of Fractions Calculator tool to compute the GCF of 8975/307, 6467/3205 i.e 1/983935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8975/307, 6467/3205.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8975/307,6467/3205
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 8975/307,6467/3205, numerators are 8975,6467
Denominators are 307,3205
The GCF of 8975,6467 is 1 .
LCM of 307,3205 is 983935.
The greatest common factor of 8975/307,6467/3205 = [GCF of 8975,6467]/[LCM of 307,3205]= 1/983935
Therefore, the GCF of 8975/307,6467/3205 is 1/983935.
To find the highest common factor of 8975,6467, we have to find the factors of both numbers and list the highest common factor.
The factors of 8975 are 1, 5, 25, 359, 1795, 8975
The factors of 6467 are 1, 29, 223, 6467
The HCF of 8975,6467 is 1.
Lets's calculate GCF of 8975,6467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8975
:1,5,25,359,1795,8975
Now, list down the factors of 6467
:1,29,223,6467
Greatest Common Factor
We found the factors 8975,6467 . The biggest common factor number is the GCF number.
So the greatest common factor 8975,6467 is 1.
Lets's calculate LCM of 307,3205
Given numbers has no common factors except 1. So, there LCM is their product i.e 983935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/983935
Therefore, the GCF of Fractions 8975/307,6467/3205 is 1/983935
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 307,3205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,3205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,3205) x common factors =1 x 1 = 1
LCM(307,3205) = ( 307 × 3205 ) / 1
LCM(307,3205) = 983935 / 1
LCM(307,3205) = 983935
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8975,6467?
The HCF of 8975,6467 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 8975/307, 6467/3205?
Answer: GCF of Numerators as per given numbers 8975/307, 6467/3205 is
GCF of Numerators i.e. for 8975,6467 is 1
LCM of denominators i.e. for 307,3205 is 983935.
Thus, GCF of Fractions is 1/983935.Finally, GCF of Fractions for 8975/307, 6467/3205 is 1/983935.