Use our free GCF of Fractions Calculator tool to compute the GCF of 109/771, 794/389 i.e 1/299919 easily. The following is the detailed procedure to determine the greatest common factor of fractions 109/771, 794/389.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 109/771,794/389
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 109/771,794/389, numerators are 109,794
Denominators are 771,389
The GCF of 109,794 is 1 .
LCM of 771,389 is 299919.
The greatest common factor of 109/771,794/389 = [GCF of 109,794]/[LCM of 771,389]= 1/299919
Therefore, the GCF of 109/771,794/389 is 1/299919.
To find the highest common factor of 109,794, we have to find the factors of both numbers and list the highest common factor.
The factors of 109 are 1, 109
The factors of 794 are 1, 2, 397, 794
The HCF of 109,794 is 1.
Lets's calculate GCF of 109,794
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 109
:1,109
Now, list down the factors of 794
:1,2,397,794
Greatest Common Factor
We found the factors 109,794 . The biggest common factor number is the GCF number.
So the greatest common factor 109,794 is 1.
Lets's calculate LCM of 771,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 299919
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299919
Therefore, the GCF of Fractions 109/771,794/389 is 1/299919
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 771,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,389) x common factors =1 x 1 = 1
LCM(771,389) = ( 771 × 389 ) / 1
LCM(771,389) = 299919 / 1
LCM(771,389) = 299919
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 109,794?
The HCF of 109,794 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 109/771, 794/389?
Answer: GCF of Numerators as per given numbers 109/771, 794/389 is
GCF of Numerators i.e. for 109,794 is 1
LCM of denominators i.e. for 771,389 is 299919.
Thus, GCF of Fractions is 1/299919.Finally, GCF of Fractions for 109/771, 794/389 is 1/299919.