Use our free GCF of Fractions Calculator tool to compute the GCF of 334/367, 909/816 i.e 1/299472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/367, 909/816.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 334/367,909/816
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 334/367,909/816, numerators are 334,909
Denominators are 367,816
The GCF of 334,909 is 1 .
LCM of 367,816 is 299472.
The greatest common factor of 334/367,909/816 = [GCF of 334,909]/[LCM of 367,816]= 1/299472
Therefore, the GCF of 334/367,909/816 is 1/299472.
To find the highest common factor of 334,909, we have to find the factors of both numbers and list the highest common factor.
The factors of 334 are 1, 2, 167, 334
The factors of 909 are 1, 3, 9, 101, 303, 909
The HCF of 334,909 is 1.
Lets's calculate GCF of 334,909
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 334
:1,2,167,334
Now, list down the factors of 909
:1,3,9,101,303,909
Greatest Common Factor
We found the factors 334,909 . The biggest common factor number is the GCF number.
So the greatest common factor 334,909 is 1.
Lets's calculate LCM of 367,816
Given numbers has no common factors except 1. So, there LCM is their product i.e 299472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299472
Therefore, the GCF of Fractions 334/367,909/816 is 1/299472
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 367,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,816) x common factors =1 x 1 = 1
LCM(367,816) = ( 367 × 816 ) / 1
LCM(367,816) = 299472 / 1
LCM(367,816) = 299472
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 334,909?
The HCF of 334,909 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 334/367, 909/816?
Answer: GCF of Numerators as per given numbers 334/367, 909/816 is
GCF of Numerators i.e. for 334,909 is 1
LCM of denominators i.e. for 367,816 is 299472.
Thus, GCF of Fractions is 1/299472.Finally, GCF of Fractions for 334/367, 909/816 is 1/299472.