GCF of 4738/557, 6471/7127
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4738/557, 6471/7127 i.e 1/3969739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/557, 6471/7127.
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 4738/557,6471/7127?
Given fractions are 4738/557,6471/7127
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 4738/557,6471/7127, numerators are 4738,6471
Denominators are 557,7127
The GCF of 4738,6471 is 1 .
LCM of 557,7127 is 3969739.
The greatest common factor of 4738/557,6471/7127 = [GCF of 4738,6471]/[LCM of 557,7127]= 1/3969739
Therefore, the GCF of 4738/557,6471/7127 is 1/3969739.
To find the highest common factor of 4738,6471, we have to find the factors of both numbers and list the highest common factor.
The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738
The factors of 6471 are 1, 3, 9, 719, 2157, 6471
The HCF of 4738,6471 is 1.
Lets's calculate GCF of 4738,6471
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4738,6471 By Matching Biggest Common Factor Method
Now, list down the factors of 4738
:1,2,23,46,103,206,2369,4738
Now, list down the factors of 6471
:1,3,9,719,2157,6471
Greatest Common Factor
We found the factors 4738,6471 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,6471 is 1.
Lets's calculate LCM of 557,7127
Given numbers has no common factors except 1. So, there LCM is their product i.e 3969739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3969739
Therefore, the GCF of Fractions 4738/557,6471/7127 is 1/3969739
Least Common Multiple of 557,7127 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 557,7127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(557,7127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(557,7127) x common factors =1 x 1 = 1
LCM(557,7127) = ( 557 × 7127 ) / 1
LCM(557,7127) = 3969739 / 1
LCM(557,7127) = 3969739
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FAQs on GCF of Fractions of 4738/557, 6471/7127
1. What is the HCF of 4738,6471?
The HCF of 4738,6471 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 4738/557, 6471/7127?
Answer: GCF of Numerators as per given numbers 4738/557, 6471/7127 is
GCF of Numerators i.e. for 4738,6471 is 1
LCM of denominators i.e. for 557,7127 is 3969739.
Thus, GCF of Fractions is 1/3969739.Finally, GCF of Fractions for 4738/557, 6471/7127 is 1/3969739.