GCF of 8163/361, 5923/7841
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8163/361, 5923/7841 i.e 1/2830601 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8163/361, 5923/7841.
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 8163/361,5923/7841?
Given fractions are 8163/361,5923/7841
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 8163/361,5923/7841, numerators are 8163,5923
Denominators are 361,7841
The GCF of 8163,5923 is 1 .
LCM of 361,7841 is 2830601.
The greatest common factor of 8163/361,5923/7841 = [GCF of 8163,5923]/[LCM of 361,7841]= 1/2830601
Therefore, the GCF of 8163/361,5923/7841 is 1/2830601.
To find the highest common factor of 8163,5923, we have to find the factors of both numbers and list the highest common factor.
The factors of 8163 are 1, 3, 9, 907, 2721, 8163
The factors of 5923 are 1, 5923
The HCF of 8163,5923 is 1.
Lets's calculate GCF of 8163,5923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8163,5923 By Matching Biggest Common Factor Method
Now, list down the factors of 8163
:1,3,9,907,2721,8163
Now, list down the factors of 5923
:1,5923
Greatest Common Factor
We found the factors 8163,5923 . The biggest common factor number is the GCF number.
So the greatest common factor 8163,5923 is 1.
Lets's calculate LCM of 361,7841
Given numbers has no common factors except 1. So, there LCM is their product i.e 2830601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2830601
Therefore, the GCF of Fractions 8163/361,5923/7841 is 1/2830601
Least Common Multiple of 361,7841 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 361,7841 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,7841) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,7841) x common factors =1 x 1 = 1
LCM(361,7841) = ( 361 × 7841 ) / 1
LCM(361,7841) = 2830601 / 1
LCM(361,7841) = 2830601
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FAQs on GCF of Fractions of 8163/361, 5923/7841
1. What is the HCF of 8163,5923?
The HCF of 8163,5923 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 8163/361, 5923/7841?
Answer: GCF of Numerators as per given numbers 8163/361, 5923/7841 is
GCF of Numerators i.e. for 8163,5923 is 1
LCM of denominators i.e. for 361,7841 is 2830601.
Thus, GCF of Fractions is 1/2830601.Finally, GCF of Fractions for 8163/361, 5923/7841 is 1/2830601.