Use our free GCF of Fractions Calculator tool to compute the GCF of 8665/463, 3734/6067 i.e 1/2809021 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8665/463, 3734/6067.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8665/463,3734/6067
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 8665/463,3734/6067, numerators are 8665,3734
Denominators are 463,6067
The GCF of 8665,3734 is 1 .
LCM of 463,6067 is 2809021.
The greatest common factor of 8665/463,3734/6067 = [GCF of 8665,3734]/[LCM of 463,6067]= 1/2809021
Therefore, the GCF of 8665/463,3734/6067 is 1/2809021.
To find the highest common factor of 8665,3734, we have to find the factors of both numbers and list the highest common factor.
The factors of 8665 are 1, 5, 1733, 8665
The factors of 3734 are 1, 2, 1867, 3734
The HCF of 8665,3734 is 1.
Lets's calculate GCF of 8665,3734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8665
:1,5,1733,8665
Now, list down the factors of 3734
:1,2,1867,3734
Greatest Common Factor
We found the factors 8665,3734 . The biggest common factor number is the GCF number.
So the greatest common factor 8665,3734 is 1.
Lets's calculate LCM of 463,6067
Given numbers has no common factors except 1. So, there LCM is their product i.e 2809021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2809021
Therefore, the GCF of Fractions 8665/463,3734/6067 is 1/2809021
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 463,6067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,6067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,6067) x common factors =1 x 1 = 1
LCM(463,6067) = ( 463 × 6067 ) / 1
LCM(463,6067) = 2809021 / 1
LCM(463,6067) = 2809021
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8665,3734?
The HCF of 8665,3734 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 8665/463, 3734/6067?
Answer: GCF of Numerators as per given numbers 8665/463, 3734/6067 is
GCF of Numerators i.e. for 8665,3734 is 1
LCM of denominators i.e. for 463,6067 is 2809021.
Thus, GCF of Fractions is 1/2809021.Finally, GCF of Fractions for 8665/463, 3734/6067 is 1/2809021.