GCF of 4057/829, 7281/7005
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4057/829, 7281/7005 i.e 1/5807145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4057/829, 7281/7005.
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 4057/829,7281/7005?
Given fractions are 4057/829,7281/7005
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 4057/829,7281/7005, numerators are 4057,7281
Denominators are 829,7005
The GCF of 4057,7281 is 1 .
LCM of 829,7005 is 5807145.
The greatest common factor of 4057/829,7281/7005 = [GCF of 4057,7281]/[LCM of 829,7005]= 1/5807145
Therefore, the GCF of 4057/829,7281/7005 is 1/5807145.
To find the highest common factor of 4057,7281, we have to find the factors of both numbers and list the highest common factor.
The factors of 4057 are 1, 4057
The factors of 7281 are 1, 3, 9, 809, 2427, 7281
The HCF of 4057,7281 is 1.
Lets's calculate GCF of 4057,7281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4057,7281 By Matching Biggest Common Factor Method
Now, list down the factors of 4057
:1,4057
Now, list down the factors of 7281
:1,3,9,809,2427,7281
Greatest Common Factor
We found the factors 4057,7281 . The biggest common factor number is the GCF number.
So the greatest common factor 4057,7281 is 1.
Lets's calculate LCM of 829,7005
Given numbers has no common factors except 1. So, there LCM is their product i.e 5807145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5807145
Therefore, the GCF of Fractions 4057/829,7281/7005 is 1/5807145
Least Common Multiple of 829,7005 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 829,7005 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(829,7005) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(829,7005) x common factors =1 x 1 = 1
LCM(829,7005) = ( 829 × 7005 ) / 1
LCM(829,7005) = 5807145 / 1
LCM(829,7005) = 5807145
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FAQs on GCF of Fractions of 4057/829, 7281/7005
1. What is the HCF of 4057,7281?
The HCF of 4057,7281 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 4057/829, 7281/7005?
Answer: GCF of Numerators as per given numbers 4057/829, 7281/7005 is
GCF of Numerators i.e. for 4057,7281 is 1
LCM of denominators i.e. for 829,7005 is 5807145.
Thus, GCF of Fractions is 1/5807145.Finally, GCF of Fractions for 4057/829, 7281/7005 is 1/5807145.