GCF of 4131/235, 6099/9695
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4131/235, 6099/9695 i.e 3/455665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4131/235, 6099/9695.
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 4131/235,6099/9695?
Given fractions are 4131/235,6099/9695
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 4131/235,6099/9695, numerators are 4131,6099
Denominators are 235,9695
The GCF of 4131,6099 is 3 .
LCM of 235,9695 is 455665.
The greatest common factor of 4131/235,6099/9695 = [GCF of 4131,6099]/[LCM of 235,9695]= 3/455665
Therefore, the GCF of 4131/235,6099/9695 is 3/455665.
To find the highest common factor of 4131,6099, we have to find the factors of both numbers and list the highest common factor.
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The factors of 6099 are 1, 3, 19, 57, 107, 321, 2033, 6099
The HCF of 4131,6099 is 3.
Lets's calculate GCF of 4131,6099
| 3 | 4131, 6099 |
| 1377, 2033 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4131,6099 By Matching Biggest Common Factor Method
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Now, list down the factors of 6099
:1,3,19,57,107,321,2033,6099
Greatest Common Factor
We found the factors 4131,6099 . The biggest common factor number is the GCF number.
So the greatest common factor 4131,6099 is 3.
Lets's calculate LCM of 235,9695
| 5 | 235, 9695 |
| 47, 1939 |
∴ So the LCM of the given numbers is 5 x 47 x 1939 = 455665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/455665
Therefore, the GCF of Fractions 4131/235,6099/9695 is 3/455665
Least Common Multiple of 235,9695 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 235,9695 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,9695) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(235,9695) x common factors =5 x 1 = 5
LCM(235,9695) = ( 235 × 9695 ) / 5
LCM(235,9695) = 2278325 / 5
LCM(235,9695) = 455665
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FAQs on GCF of Fractions of 4131/235, 6099/9695
1. What is the HCF of 4131,6099?
The HCF of 4131,6099 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 4131/235, 6099/9695?
Answer: GCF of Numerators as per given numbers 4131/235, 6099/9695 is
GCF of Numerators i.e. for 4131,6099 is 3
LCM of denominators i.e. for 235,9695 is 455665.
Thus, GCF of Fractions is 3/455665.Finally, GCF of Fractions for 4131/235, 6099/9695 is 3/455665.