GCF of 579/227, 4706/616
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 579/227, 4706/616 i.e 1/139832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 579/227, 4706/616.
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 579/227,4706/616?
Given fractions are 579/227,4706/616
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 579/227,4706/616, numerators are 579,4706
Denominators are 227,616
The GCF of 579,4706 is 1 .
LCM of 227,616 is 139832.
The greatest common factor of 579/227,4706/616 = [GCF of 579,4706]/[LCM of 227,616]= 1/139832
Therefore, the GCF of 579/227,4706/616 is 1/139832.
To find the highest common factor of 579,4706, we have to find the factors of both numbers and list the highest common factor.
The factors of 579 are 1, 3, 193, 579
The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706
The HCF of 579,4706 is 1.
Lets's calculate GCF of 579,4706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 579,4706 By Matching Biggest Common Factor Method
Now, list down the factors of 579
:1,3,193,579
Now, list down the factors of 4706
:1,2,13,26,181,362,2353,4706
Greatest Common Factor
We found the factors 579,4706 . The biggest common factor number is the GCF number.
So the greatest common factor 579,4706 is 1.
Lets's calculate LCM of 227,616
Given numbers has no common factors except 1. So, there LCM is their product i.e 139832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139832
Therefore, the GCF of Fractions 579/227,4706/616 is 1/139832
Least Common Multiple of 227,616 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 227,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,616) x common factors =1 x 1 = 1
LCM(227,616) = ( 227 × 616 ) / 1
LCM(227,616) = 139832 / 1
LCM(227,616) = 139832
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FAQs on GCF of Fractions of 579/227, 4706/616
1. What is the HCF of 579,4706?
The HCF of 579,4706 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 579/227, 4706/616?
Answer: GCF of Numerators as per given numbers 579/227, 4706/616 is
GCF of Numerators i.e. for 579,4706 is 1
LCM of denominators i.e. for 227,616 is 139832.
Thus, GCF of Fractions is 1/139832.Finally, GCF of Fractions for 579/227, 4706/616 is 1/139832.