Use our free GCF of Fractions Calculator tool to compute the GCF of 3367/334, 8394/5825 i.e 1/1945550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3367/334, 8394/5825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3367/334,8394/5825
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 3367/334,8394/5825, numerators are 3367,8394
Denominators are 334,5825
The GCF of 3367,8394 is 1 .
LCM of 334,5825 is 1945550.
The greatest common factor of 3367/334,8394/5825 = [GCF of 3367,8394]/[LCM of 334,5825]= 1/1945550
Therefore, the GCF of 3367/334,8394/5825 is 1/1945550.
To find the highest common factor of 3367,8394, we have to find the factors of both numbers and list the highest common factor.
The factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367
The factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394
The HCF of 3367,8394 is 1.
Lets's calculate GCF of 3367,8394
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 3367
:1,7,13,37,91,259,481,3367
Now, list down the factors of 8394
:1,2,3,6,1399,2798,4197,8394
Greatest Common Factor
We found the factors 3367,8394 . The biggest common factor number is the GCF number.
So the greatest common factor 3367,8394 is 1.
Lets's calculate LCM of 334,5825
Given numbers has no common factors except 1. So, there LCM is their product i.e 1945550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1945550
Therefore, the GCF of Fractions 3367/334,8394/5825 is 1/1945550
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 334,5825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,5825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,5825) x common factors =1 x 1 = 1
LCM(334,5825) = ( 334 × 5825 ) / 1
LCM(334,5825) = 1945550 / 1
LCM(334,5825) = 1945550
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3367,8394?
The HCF of 3367,8394 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 3367/334, 8394/5825?
Answer: GCF of Numerators as per given numbers 3367/334, 8394/5825 is
GCF of Numerators i.e. for 3367,8394 is 1
LCM of denominators i.e. for 334,5825 is 1945550.
Thus, GCF of Fractions is 1/1945550.Finally, GCF of Fractions for 3367/334, 8394/5825 is 1/1945550.