GCF of 5853/243, 4575/5373
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5853/243, 4575/5373 i.e 3/48357 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5853/243, 4575/5373.
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 5853/243,4575/5373?
Given fractions are 5853/243,4575/5373
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 5853/243,4575/5373, numerators are 5853,4575
Denominators are 243,5373
The GCF of 5853,4575 is 3 .
LCM of 243,5373 is 48357.
The greatest common factor of 5853/243,4575/5373 = [GCF of 5853,4575]/[LCM of 243,5373]= 3/48357
Therefore, the GCF of 5853/243,4575/5373 is 3/48357.
To find the highest common factor of 5853,4575, we have to find the factors of both numbers and list the highest common factor.
The factors of 5853 are 1, 3, 1951, 5853
The factors of 4575 are 1, 3, 5, 15, 25, 61, 75, 183, 305, 915, 1525, 4575
The HCF of 5853,4575 is 3.
Lets's calculate GCF of 5853,4575
| 3 | 5853, 4575 |
| 1951, 1525 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5853,4575 By Matching Biggest Common Factor Method
Now, list down the factors of 5853
:1,3,1951,5853
Now, list down the factors of 4575
:1,3,5,15,25,61,75,183,305,915,1525,4575
Greatest Common Factor
We found the factors 5853,4575 . The biggest common factor number is the GCF number.
So the greatest common factor 5853,4575 is 3.
Lets's calculate LCM of 243,5373
| 3 | 243, 5373 |
| 3 | 81, 1791 |
| 3 | 27, 597 |
| 9, 199 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 9 x 199 = 48357
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48357
Therefore, the GCF of Fractions 5853/243,4575/5373 is 3/48357
Least Common Multiple of 243,5373 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 243,5373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,5373) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(243,5373) x common factors =27 x 1 = 27
LCM(243,5373) = ( 243 × 5373 ) / 27
LCM(243,5373) = 1305639 / 27
LCM(243,5373) = 48357
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FAQs on GCF of Fractions of 5853/243, 4575/5373
1. What is the HCF of 5853,4575?
The HCF of 5853,4575 is 3
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 5853/243, 4575/5373?
Answer: GCF of Numerators as per given numbers 5853/243, 4575/5373 is
GCF of Numerators i.e. for 5853,4575 is 3
LCM of denominators i.e. for 243,5373 is 48357.
Thus, GCF of Fractions is 3/48357.Finally, GCF of Fractions for 5853/243, 4575/5373 is 3/48357.