GCF of 8177/405, 5741/169
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8177/405, 5741/169 i.e 1/68445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8177/405, 5741/169.
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 8177/405,5741/169?
Given fractions are 8177/405,5741/169
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 8177/405,5741/169, numerators are 8177,5741
Denominators are 405,169
The GCF of 8177,5741 is 1 .
LCM of 405,169 is 68445.
The greatest common factor of 8177/405,5741/169 = [GCF of 8177,5741]/[LCM of 405,169]= 1/68445
Therefore, the GCF of 8177/405,5741/169 is 1/68445.
To find the highest common factor of 8177,5741, we have to find the factors of both numbers and list the highest common factor.
The factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177
The factors of 5741 are 1, 5741
The HCF of 8177,5741 is 1.
Lets's calculate GCF of 8177,5741
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8177,5741 By Matching Biggest Common Factor Method
Now, list down the factors of 8177
:1,13,17,37,221,481,629,8177
Now, list down the factors of 5741
:1,5741
Greatest Common Factor
We found the factors 8177,5741 . The biggest common factor number is the GCF number.
So the greatest common factor 8177,5741 is 1.
Lets's calculate LCM of 405,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 68445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68445
Therefore, the GCF of Fractions 8177/405,5741/169 is 1/68445
Least Common Multiple of 405,169 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 405,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,169) x common factors =1 x 1 = 1
LCM(405,169) = ( 405 × 169 ) / 1
LCM(405,169) = 68445 / 1
LCM(405,169) = 68445
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FAQs on GCF of Fractions of 8177/405, 5741/169
1. What is the HCF of 8177,5741?
The HCF of 8177,5741 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 8177/405, 5741/169?
Answer: GCF of Numerators as per given numbers 8177/405, 5741/169 is
GCF of Numerators i.e. for 8177,5741 is 1
LCM of denominators i.e. for 405,169 is 68445.
Thus, GCF of Fractions is 1/68445.Finally, GCF of Fractions for 8177/405, 5741/169 is 1/68445.