GCF of 8741/438, 8269/407
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8741/438, 8269/407 i.e 1/178266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8741/438, 8269/407.
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 8741/438,8269/407?
Given fractions are 8741/438,8269/407
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 8741/438,8269/407, numerators are 8741,8269
Denominators are 438,407
The GCF of 8741,8269 is 1 .
LCM of 438,407 is 178266.
The greatest common factor of 8741/438,8269/407 = [GCF of 8741,8269]/[LCM of 438,407]= 1/178266
Therefore, the GCF of 8741/438,8269/407 is 1/178266.
To find the highest common factor of 8741,8269, we have to find the factors of both numbers and list the highest common factor.
The factors of 8741 are 1, 8741
The factors of 8269 are 1, 8269
The HCF of 8741,8269 is 1.
Lets's calculate GCF of 8741,8269
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8741,8269 By Matching Biggest Common Factor Method
Now, list down the factors of 8741
:1,8741
Now, list down the factors of 8269
:1,8269
Greatest Common Factor
We found the factors 8741,8269 . The biggest common factor number is the GCF number.
So the greatest common factor 8741,8269 is 1.
Lets's calculate LCM of 438,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 178266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/178266
Therefore, the GCF of Fractions 8741/438,8269/407 is 1/178266
Least Common Multiple of 438,407 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 438,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,407) x common factors =1 x 1 = 1
LCM(438,407) = ( 438 × 407 ) / 1
LCM(438,407) = 178266 / 1
LCM(438,407) = 178266
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FAQs on GCF of Fractions of 8741/438, 8269/407
1. What is the HCF of 8741,8269?
The HCF of 8741,8269 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 8741/438, 8269/407?
Answer: GCF of Numerators as per given numbers 8741/438, 8269/407 is
GCF of Numerators i.e. for 8741,8269 is 1
LCM of denominators i.e. for 438,407 is 178266.
Thus, GCF of Fractions is 1/178266.Finally, GCF of Fractions for 8741/438, 8269/407 is 1/178266.