GCF of 2384/825, 3048/3404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2384/825, 3048/3404 i.e 8/2808300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2384/825, 3048/3404.
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 2384/825,3048/3404?
Given fractions are 2384/825,3048/3404
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 2384/825,3048/3404, numerators are 2384,3048
Denominators are 825,3404
The GCF of 2384,3048 is 8 .
LCM of 825,3404 is 2808300.
The greatest common factor of 2384/825,3048/3404 = [GCF of 2384,3048]/[LCM of 825,3404]= 8/2808300
Therefore, the GCF of 2384/825,3048/3404 is 8/2808300.
To find the highest common factor of 2384,3048, we have to find the factors of both numbers and list the highest common factor.
The factors of 2384 are 1, 2, 4, 8, 16, 149, 298, 596, 1192, 2384
The factors of 3048 are 1, 2, 3, 4, 6, 8, 12, 24, 127, 254, 381, 508, 762, 1016, 1524, 3048
The HCF of 2384,3048 is 8.
Lets's calculate GCF of 2384,3048
| 2 | 2384, 3048 |
| 2 | 1192, 1524 |
| 2 | 596, 762 |
| 298, 381 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2384,3048 By Matching Biggest Common Factor Method
Now, list down the factors of 2384
:1,2,4,8,16,149,298,596,1192,2384
Now, list down the factors of 3048
:1,2,3,4,6,8,12,24,127,254,381,508,762,1016,1524,3048
Greatest Common Factor
We found the factors 2384,3048 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,3048 is 8.
Lets's calculate LCM of 825,3404
Given numbers has no common factors except 1. So, there LCM is their product i.e 2808300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2808300
Therefore, the GCF of Fractions 2384/825,3048/3404 is 8/2808300
Least Common Multiple of 825,3404 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 825,3404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,3404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(825,3404) x common factors =1 x 1 = 1
LCM(825,3404) = ( 825 × 3404 ) / 1
LCM(825,3404) = 2808300 / 1
LCM(825,3404) = 2808300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2384/825, 3048/3404
1. What is the HCF of 2384,3048?
The HCF of 2384,3048 is 8
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 2384/825, 3048/3404?
Answer: GCF of Numerators as per given numbers 2384/825, 3048/3404 is
GCF of Numerators i.e. for 2384,3048 is 8
LCM of denominators i.e. for 825,3404 is 2808300.
Thus, GCF of Fractions is 8/2808300.Finally, GCF of Fractions for 2384/825, 3048/3404 is 8/2808300.