Use our free GCF of Fractions Calculator tool to compute the GCF of 389/392, 844/309 i.e 1/121128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/392, 844/309.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 389/392,844/309
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 389/392,844/309, numerators are 389,844
Denominators are 392,309
The GCF of 389,844 is 1 .
LCM of 392,309 is 121128.
The greatest common factor of 389/392,844/309 = [GCF of 389,844]/[LCM of 392,309]= 1/121128
Therefore, the GCF of 389/392,844/309 is 1/121128.
To find the highest common factor of 389,844, we have to find the factors of both numbers and list the highest common factor.
The factors of 389 are 1, 389
The factors of 844 are 1, 2, 4, 211, 422, 844
The HCF of 389,844 is 1.
Lets's calculate GCF of 389,844
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 389
:1,389
Now, list down the factors of 844
:1,2,4,211,422,844
Greatest Common Factor
We found the factors 389,844 . The biggest common factor number is the GCF number.
So the greatest common factor 389,844 is 1.
Lets's calculate LCM of 392,309
Given numbers has no common factors except 1. So, there LCM is their product i.e 121128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121128
Therefore, the GCF of Fractions 389/392,844/309 is 1/121128
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 392,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,309) x common factors =1 x 1 = 1
LCM(392,309) = ( 392 × 309 ) / 1
LCM(392,309) = 121128 / 1
LCM(392,309) = 121128
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 389,844?
The HCF of 389,844 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 389/392, 844/309?
Answer: GCF of Numerators as per given numbers 389/392, 844/309 is
GCF of Numerators i.e. for 389,844 is 1
LCM of denominators i.e. for 392,309 is 121128.
Thus, GCF of Fractions is 1/121128.Finally, GCF of Fractions for 389/392, 844/309 is 1/121128.