GCF of 4303/605, 9846/1905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4303/605, 9846/1905 i.e 1/230505 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4303/605, 9846/1905.
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 4303/605,9846/1905?
Given fractions are 4303/605,9846/1905
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 4303/605,9846/1905, numerators are 4303,9846
Denominators are 605,1905
The GCF of 4303,9846 is 1 .
LCM of 605,1905 is 230505.
The greatest common factor of 4303/605,9846/1905 = [GCF of 4303,9846]/[LCM of 605,1905]= 1/230505
Therefore, the GCF of 4303/605,9846/1905 is 1/230505.
To find the highest common factor of 4303,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 4303 are 1, 13, 331, 4303
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 4303,9846 is 1.
Lets's calculate GCF of 4303,9846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4303,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 4303
:1,13,331,4303
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 4303,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 4303,9846 is 1.
Lets's calculate LCM of 605,1905
| 5 | 605, 1905 |
| 121, 381 |
∴ So the LCM of the given numbers is 5 x 121 x 381 = 230505
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230505
Therefore, the GCF of Fractions 4303/605,9846/1905 is 1/230505
Least Common Multiple of 605,1905 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 605,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,1905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(605,1905) x common factors =5 x 1 = 5
LCM(605,1905) = ( 605 × 1905 ) / 5
LCM(605,1905) = 1152525 / 5
LCM(605,1905) = 230505
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FAQs on GCF of Fractions of 4303/605, 9846/1905
1. What is the HCF of 4303,9846?
The HCF of 4303,9846 is 1
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 4303/605, 9846/1905?
Answer: GCF of Numerators as per given numbers 4303/605, 9846/1905 is
GCF of Numerators i.e. for 4303,9846 is 1
LCM of denominators i.e. for 605,1905 is 230505.
Thus, GCF of Fractions is 1/230505.Finally, GCF of Fractions for 4303/605, 9846/1905 is 1/230505.