GCF of 3591/323, 7505/5729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3591/323, 7505/5729 i.e 19/108851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3591/323, 7505/5729.
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 3591/323,7505/5729?
Given fractions are 3591/323,7505/5729
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 3591/323,7505/5729, numerators are 3591,7505
Denominators are 323,5729
The GCF of 3591,7505 is 19 .
LCM of 323,5729 is 108851.
The greatest common factor of 3591/323,7505/5729 = [GCF of 3591,7505]/[LCM of 323,5729]= 19/108851
Therefore, the GCF of 3591/323,7505/5729 is 19/108851.
To find the highest common factor of 3591,7505, we have to find the factors of both numbers and list the highest common factor.
The factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591
The factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505
The HCF of 3591,7505 is 19.
Lets's calculate GCF of 3591,7505
| 19 | 3591, 7505 |
| 189, 395 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3591,7505 By Matching Biggest Common Factor Method
Now, list down the factors of 3591
:1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591
Now, list down the factors of 7505
:1,5,19,79,95,395,1501,7505
Greatest Common Factor
We found the factors 3591,7505 . The biggest common factor number is the GCF number.
So the greatest common factor 3591,7505 is 19.
Lets's calculate LCM of 323,5729
| 17 | 323, 5729 |
| 19, 337 |
∴ So the LCM of the given numbers is 17 x 19 x 337 = 108851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/108851
Therefore, the GCF of Fractions 3591/323,7505/5729 is 19/108851
Least Common Multiple of 323,5729 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 323,5729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,5729) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(323,5729) x common factors =17 x 1 = 17
LCM(323,5729) = ( 323 × 5729 ) / 17
LCM(323,5729) = 1850467 / 17
LCM(323,5729) = 108851
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FAQs on GCF of Fractions of 3591/323, 7505/5729
1. What is the HCF of 3591,7505?
The HCF of 3591,7505 is 19
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 3591/323, 7505/5729?
Answer: GCF of Numerators as per given numbers 3591/323, 7505/5729 is
GCF of Numerators i.e. for 3591,7505 is 19
LCM of denominators i.e. for 323,5729 is 108851.
Thus, GCF of Fractions is 19/108851.Finally, GCF of Fractions for 3591/323, 7505/5729 is 19/108851.