GCF of 4728/323, 5916/6595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4728/323, 5916/6595 i.e 12/2130185 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4728/323, 5916/6595.
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 4728/323,5916/6595?
Given fractions are 4728/323,5916/6595
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 4728/323,5916/6595, numerators are 4728,5916
Denominators are 323,6595
The GCF of 4728,5916 is 12 .
LCM of 323,6595 is 2130185.
The greatest common factor of 4728/323,5916/6595 = [GCF of 4728,5916]/[LCM of 323,6595]= 12/2130185
Therefore, the GCF of 4728/323,5916/6595 is 12/2130185.
To find the highest common factor of 4728,5916, we have to find the factors of both numbers and list the highest common factor.
The factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728
The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916
The HCF of 4728,5916 is 12.
Lets's calculate GCF of 4728,5916
| 2 | 4728, 5916 |
| 2 | 2364, 2958 |
| 3 | 1182, 1479 |
| 394, 493 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 4728,5916 By Matching Biggest Common Factor Method
Now, list down the factors of 4728
:1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728
Now, list down the factors of 5916
:1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916
Greatest Common Factor
We found the factors 4728,5916 . The biggest common factor number is the GCF number.
So the greatest common factor 4728,5916 is 12.
Lets's calculate LCM of 323,6595
Given numbers has no common factors except 1. So, there LCM is their product i.e 2130185
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/2130185
Therefore, the GCF of Fractions 4728/323,5916/6595 is 12/2130185
Least Common Multiple of 323,6595 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 323,6595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,6595) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,6595) x common factors =1 x 1 = 1
LCM(323,6595) = ( 323 × 6595 ) / 1
LCM(323,6595) = 2130185 / 1
LCM(323,6595) = 2130185
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FAQs on GCF of Fractions of 4728/323, 5916/6595
1. What is the HCF of 4728,5916?
The HCF of 4728,5916 is 12
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 4728/323, 5916/6595?
Answer: GCF of Numerators as per given numbers 4728/323, 5916/6595 is
GCF of Numerators i.e. for 4728,5916 is 12
LCM of denominators i.e. for 323,6595 is 2130185.
Thus, GCF of Fractions is 12/2130185.Finally, GCF of Fractions for 4728/323, 5916/6595 is 12/2130185.