Use our free GCF of Fractions Calculator tool to compute the GCF of 2384/328, 3455/6822 i.e 1/1118808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2384/328, 3455/6822.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2384/328,3455/6822
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 2384/328,3455/6822, numerators are 2384,3455
Denominators are 328,6822
The GCF of 2384,3455 is 1 .
LCM of 328,6822 is 1118808.
The greatest common factor of 2384/328,3455/6822 = [GCF of 2384,3455]/[LCM of 328,6822]= 1/1118808
Therefore, the GCF of 2384/328,3455/6822 is 1/1118808.
To find the highest common factor of 2384,3455, 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 3455 are 1, 5, 691, 3455
The HCF of 2384,3455 is 1.
Lets's calculate GCF of 2384,3455
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2384
:1,2,4,8,16,149,298,596,1192,2384
Now, list down the factors of 3455
:1,5,691,3455
Greatest Common Factor
We found the factors 2384,3455 . The biggest common factor number is the GCF number.
So the greatest common factor 2384,3455 is 1.
Lets's calculate LCM of 328,6822
2 | 328, 6822 |
164, 3411 |
∴ So the LCM of the given numbers is 2 x 164 x 3411 = 1118808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118808
Therefore, the GCF of Fractions 2384/328,3455/6822 is 1/1118808
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 328,6822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,6822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(328,6822) x common factors =2 x 1 = 2
LCM(328,6822) = ( 328 × 6822 ) / 2
LCM(328,6822) = 2237616 / 2
LCM(328,6822) = 1118808
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2384,3455?
The HCF of 2384,3455 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 2384/328, 3455/6822?
Answer: GCF of Numerators as per given numbers 2384/328, 3455/6822 is
GCF of Numerators i.e. for 2384,3455 is 1
LCM of denominators i.e. for 328,6822 is 1118808.
Thus, GCF of Fractions is 1/1118808.Finally, GCF of Fractions for 2384/328, 3455/6822 is 1/1118808.