GCF of 6393/109, 8587/1592
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6393/109, 8587/1592 i.e 1/173528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6393/109, 8587/1592.
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 6393/109,8587/1592?
Given fractions are 6393/109,8587/1592
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 6393/109,8587/1592, numerators are 6393,8587
Denominators are 109,1592
The GCF of 6393,8587 is 1 .
LCM of 109,1592 is 173528.
The greatest common factor of 6393/109,8587/1592 = [GCF of 6393,8587]/[LCM of 109,1592]= 1/173528
Therefore, the GCF of 6393/109,8587/1592 is 1/173528.
To find the highest common factor of 6393,8587, we have to find the factors of both numbers and list the highest common factor.
The factors of 6393 are 1, 3, 2131, 6393
The factors of 8587 are 1, 31, 277, 8587
The HCF of 6393,8587 is 1.
Lets's calculate GCF of 6393,8587
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6393,8587 By Matching Biggest Common Factor Method
Now, list down the factors of 6393
:1,3,2131,6393
Now, list down the factors of 8587
:1,31,277,8587
Greatest Common Factor
We found the factors 6393,8587 . The biggest common factor number is the GCF number.
So the greatest common factor 6393,8587 is 1.
Lets's calculate LCM of 109,1592
Given numbers has no common factors except 1. So, there LCM is their product i.e 173528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173528
Therefore, the GCF of Fractions 6393/109,8587/1592 is 1/173528
Least Common Multiple of 109,1592 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 109,1592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,1592) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,1592) x common factors =1 x 1 = 1
LCM(109,1592) = ( 109 × 1592 ) / 1
LCM(109,1592) = 173528 / 1
LCM(109,1592) = 173528
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6393/109, 8587/1592
1. What is the HCF of 6393,8587?
The HCF of 6393,8587 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 6393/109, 8587/1592?
Answer: GCF of Numerators as per given numbers 6393/109, 8587/1592 is
GCF of Numerators i.e. for 6393,8587 is 1
LCM of denominators i.e. for 109,1592 is 173528.
Thus, GCF of Fractions is 1/173528.Finally, GCF of Fractions for 6393/109, 8587/1592 is 1/173528.