Use our free GCF of Fractions Calculator tool to compute the GCF of 383/149, 438/809 i.e 1/120541 easily. The following is the detailed procedure to determine the greatest common factor of fractions 383/149, 438/809.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 383/149,438/809
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 383/149,438/809, numerators are 383,438
Denominators are 149,809
The GCF of 383,438 is 1 .
LCM of 149,809 is 120541.
The greatest common factor of 383/149,438/809 = [GCF of 383,438]/[LCM of 149,809]= 1/120541
Therefore, the GCF of 383/149,438/809 is 1/120541.
To find the highest common factor of 383,438, we have to find the factors of both numbers and list the highest common factor.
The factors of 383 are 1, 383
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, 438
The HCF of 383,438 is 1.
Lets's calculate GCF of 383,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 383
:1,383
Now, list down the factors of 438
:1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 383,438 . The biggest common factor number is the GCF number.
So the greatest common factor 383,438 is 1.
Lets's calculate LCM of 149,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 120541
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120541
Therefore, the GCF of Fractions 383/149,438/809 is 1/120541
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 149,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,809) x common factors =1 x 1 = 1
LCM(149,809) = ( 149 × 809 ) / 1
LCM(149,809) = 120541 / 1
LCM(149,809) = 120541
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 383,438?
The HCF of 383,438 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 383/149, 438/809?
Answer: GCF of Numerators as per given numbers 383/149, 438/809 is
GCF of Numerators i.e. for 383,438 is 1
LCM of denominators i.e. for 149,809 is 120541.
Thus, GCF of Fractions is 1/120541.Finally, GCF of Fractions for 383/149, 438/809 is 1/120541.