GCF of 4577/404, 9729/541
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4577/404, 9729/541 i.e 23/218564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4577/404, 9729/541.
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 4577/404,9729/541?
Given fractions are 4577/404,9729/541
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 4577/404,9729/541, numerators are 4577,9729
Denominators are 404,541
The GCF of 4577,9729 is 23 .
LCM of 404,541 is 218564.
The greatest common factor of 4577/404,9729/541 = [GCF of 4577,9729]/[LCM of 404,541]= 23/218564
Therefore, the GCF of 4577/404,9729/541 is 23/218564.
To find the highest common factor of 4577,9729, we have to find the factors of both numbers and list the highest common factor.
The factors of 4577 are 1, 23, 199, 4577
The factors of 9729 are 1, 3, 9, 23, 47, 69, 141, 207, 423, 1081, 3243, 9729
The HCF of 4577,9729 is 23.
Lets's calculate GCF of 4577,9729
| 23 | 4577, 9729 |
| 199, 423 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4577,9729 By Matching Biggest Common Factor Method
Now, list down the factors of 4577
:1,23,199,4577
Now, list down the factors of 9729
:1,3,9,23,47,69,141,207,423,1081,3243,9729
Greatest Common Factor
We found the factors 4577,9729 . The biggest common factor number is the GCF number.
So the greatest common factor 4577,9729 is 23.
Lets's calculate LCM of 404,541
Given numbers has no common factors except 1. So, there LCM is their product i.e 218564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/218564
Therefore, the GCF of Fractions 4577/404,9729/541 is 23/218564
Least Common Multiple of 404,541 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 404,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,541) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,541) x common factors =1 x 1 = 1
LCM(404,541) = ( 404 × 541 ) / 1
LCM(404,541) = 218564 / 1
LCM(404,541) = 218564
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FAQs on GCF of Fractions of 4577/404, 9729/541
1. What is the HCF of 4577,9729?
The HCF of 4577,9729 is 23
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 4577/404, 9729/541?
Answer: GCF of Numerators as per given numbers 4577/404, 9729/541 is
GCF of Numerators i.e. for 4577,9729 is 23
LCM of denominators i.e. for 404,541 is 218564.
Thus, GCF of Fractions is 23/218564.Finally, GCF of Fractions for 4577/404, 9729/541 is 23/218564.