GCF of 2024/323, 5842/2304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2024/323, 5842/2304 i.e 46/744192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2024/323, 5842/2304.
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 2024/323,5842/2304?
Given fractions are 2024/323,5842/2304
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 2024/323,5842/2304, numerators are 2024,5842
Denominators are 323,2304
The GCF of 2024,5842 is 46 .
LCM of 323,2304 is 744192.
The greatest common factor of 2024/323,5842/2304 = [GCF of 2024,5842]/[LCM of 323,2304]= 46/744192
Therefore, the GCF of 2024/323,5842/2304 is 46/744192.
To find the highest common factor of 2024,5842, we have to find the factors of both numbers and list the highest common factor.
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842
The HCF of 2024,5842 is 46.
Lets's calculate GCF of 2024,5842
| 2 | 2024, 5842 |
| 23 | 1012, 2921 |
| 44, 127 |
∴ So the GCF of the given numbers is 2 x 23 = 46
Greatest Common Factor of 2024,5842 By Matching Biggest Common Factor Method
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Now, list down the factors of 5842
:1,2,23,46,127,254,2921,5842
Greatest Common Factor
We found the factors 2024,5842 . The biggest common factor number is the GCF number.
So the greatest common factor 2024,5842 is 46.
Lets's calculate LCM of 323,2304
Given numbers has no common factors except 1. So, there LCM is their product i.e 744192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 46/744192
Therefore, the GCF of Fractions 2024/323,5842/2304 is 46/744192
Least Common Multiple of 323,2304 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 323,2304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(323,2304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(323,2304) x common factors =1 x 1 = 1
LCM(323,2304) = ( 323 × 2304 ) / 1
LCM(323,2304) = 744192 / 1
LCM(323,2304) = 744192
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FAQs on GCF of Fractions of 2024/323, 5842/2304
1. What is the HCF of 2024,5842?
The HCF of 2024,5842 is 46
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 2024/323, 5842/2304?
Answer: GCF of Numerators as per given numbers 2024/323, 5842/2304 is
GCF of Numerators i.e. for 2024,5842 is 46
LCM of denominators i.e. for 323,2304 is 744192.
Thus, GCF of Fractions is 46/744192.Finally, GCF of Fractions for 2024/323, 5842/2304 is 46/744192.