GCF of 6393/500, 5795/8359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6393/500, 5795/8359 i.e 1/4179500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6393/500, 5795/8359.
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 6393/500,5795/8359?
Given fractions are 6393/500,5795/8359
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 6393/500,5795/8359, numerators are 6393,5795
Denominators are 500,8359
The GCF of 6393,5795 is 1 .
LCM of 500,8359 is 4179500.
The greatest common factor of 6393/500,5795/8359 = [GCF of 6393,5795]/[LCM of 500,8359]= 1/4179500
Therefore, the GCF of 6393/500,5795/8359 is 1/4179500.
To find the highest common factor of 6393,5795, 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 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795
The HCF of 6393,5795 is 1.
Lets's calculate GCF of 6393,5795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6393,5795 By Matching Biggest Common Factor Method
Now, list down the factors of 6393
:1,3,2131,6393
Now, list down the factors of 5795
:1,5,19,61,95,305,1159,5795
Greatest Common Factor
We found the factors 6393,5795 . The biggest common factor number is the GCF number.
So the greatest common factor 6393,5795 is 1.
Lets's calculate LCM of 500,8359
Given numbers has no common factors except 1. So, there LCM is their product i.e 4179500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4179500
Therefore, the GCF of Fractions 6393/500,5795/8359 is 1/4179500
Least Common Multiple of 500,8359 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 500,8359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,8359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,8359) x common factors =1 x 1 = 1
LCM(500,8359) = ( 500 × 8359 ) / 1
LCM(500,8359) = 4179500 / 1
LCM(500,8359) = 4179500
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FAQs on GCF of Fractions of 6393/500, 5795/8359
1. What is the HCF of 6393,5795?
The HCF of 6393,5795 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 6393/500, 5795/8359?
Answer: GCF of Numerators as per given numbers 6393/500, 5795/8359 is
GCF of Numerators i.e. for 6393,5795 is 1
LCM of denominators i.e. for 500,8359 is 4179500.
Thus, GCF of Fractions is 1/4179500.Finally, GCF of Fractions for 6393/500, 5795/8359 is 1/4179500.