GCF of 8387/415, 2565/8168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8387/415, 2565/8168 i.e 1/3389720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8387/415, 2565/8168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8387/415,2565/8168?
Given fractions are 8387/415,2565/8168
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 8387/415,2565/8168, numerators are 8387,2565
Denominators are 415,8168
The GCF of 8387,2565 is 1 .
LCM of 415,8168 is 3389720.
The greatest common factor of 8387/415,2565/8168 = [GCF of 8387,2565]/[LCM of 415,8168]= 1/3389720
Therefore, the GCF of 8387/415,2565/8168 is 1/3389720.
To find the highest common factor of 8387,2565, we have to find the factors of both numbers and list the highest common factor.
The factors of 8387 are 1, 8387
The factors of 2565 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 95, 135, 171, 285, 513, 855, 2565
The HCF of 8387,2565 is 1.
Lets's calculate GCF of 8387,2565
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8387,2565 By Matching Biggest Common Factor Method
Now, list down the factors of 8387
:1,8387
Now, list down the factors of 2565
:1,3,5,9,15,19,27,45,57,95,135,171,285,513,855,2565
Greatest Common Factor
We found the factors 8387,2565 . The biggest common factor number is the GCF number.
So the greatest common factor 8387,2565 is 1.
Lets's calculate LCM of 415,8168
Given numbers has no common factors except 1. So, there LCM is their product i.e 3389720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3389720
Therefore, the GCF of Fractions 8387/415,2565/8168 is 1/3389720
Least Common Multiple of 415,8168 with GCF Formula
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 415,8168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,8168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,8168) x common factors =1 x 1 = 1
LCM(415,8168) = ( 415 × 8168 ) / 1
LCM(415,8168) = 3389720 / 1
LCM(415,8168) = 3389720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8387/415, 2565/8168
1. What is the HCF of 8387,2565?
The HCF of 8387,2565 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 8387/415, 2565/8168?
Answer: GCF of Numerators as per given numbers 8387/415, 2565/8168 is
GCF of Numerators i.e. for 8387,2565 is 1
LCM of denominators i.e. for 415,8168 is 3389720.
Thus, GCF of Fractions is 1/3389720.Finally, GCF of Fractions for 8387/415, 2565/8168 is 1/3389720.