GCF of 8241/501, 4612/401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8241/501, 4612/401 i.e 1/200901 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8241/501, 4612/401.
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 8241/501,4612/401?
Given fractions are 8241/501,4612/401
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 8241/501,4612/401, numerators are 8241,4612
Denominators are 501,401
The GCF of 8241,4612 is 1 .
LCM of 501,401 is 200901.
The greatest common factor of 8241/501,4612/401 = [GCF of 8241,4612]/[LCM of 501,401]= 1/200901
Therefore, the GCF of 8241/501,4612/401 is 1/200901.
To find the highest common factor of 8241,4612, we have to find the factors of both numbers and list the highest common factor.
The factors of 8241 are 1, 3, 41, 67, 123, 201, 2747, 8241
The factors of 4612 are 1, 2, 4, 1153, 2306, 4612
The HCF of 8241,4612 is 1.
Lets's calculate GCF of 8241,4612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8241,4612 By Matching Biggest Common Factor Method
Now, list down the factors of 8241
:1,3,41,67,123,201,2747,8241
Now, list down the factors of 4612
:1,2,4,1153,2306,4612
Greatest Common Factor
We found the factors 8241,4612 . The biggest common factor number is the GCF number.
So the greatest common factor 8241,4612 is 1.
Lets's calculate LCM of 501,401
Given numbers has no common factors except 1. So, there LCM is their product i.e 200901
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200901
Therefore, the GCF of Fractions 8241/501,4612/401 is 1/200901
Least Common Multiple of 501,401 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 501,401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(501,401) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(501,401) x common factors =1 x 1 = 1
LCM(501,401) = ( 501 × 401 ) / 1
LCM(501,401) = 200901 / 1
LCM(501,401) = 200901
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FAQs on GCF of Fractions of 8241/501, 4612/401
1. What is the HCF of 8241,4612?
The HCF of 8241,4612 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 8241/501, 4612/401?
Answer: GCF of Numerators as per given numbers 8241/501, 4612/401 is
GCF of Numerators i.e. for 8241,4612 is 1
LCM of denominators i.e. for 501,401 is 200901.
Thus, GCF of Fractions is 1/200901.Finally, GCF of Fractions for 8241/501, 4612/401 is 1/200901.