Use our free GCF of Fractions Calculator tool to compute the GCF of 394/861, 466/385 i.e 2/47355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/861, 466/385.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/861,466/385
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 394/861,466/385, numerators are 394,466
Denominators are 861,385
The GCF of 394,466 is 2 .
LCM of 861,385 is 47355.
The greatest common factor of 394/861,466/385 = [GCF of 394,466]/[LCM of 861,385]= 2/47355
Therefore, the GCF of 394/861,466/385 is 2/47355.
To find the highest common factor of 394,466, we have to find the factors of both numbers and list the highest common factor.
The factors of 394 are 1, 2, 197, 394
The factors of 466 are 1, 2, 233, 466
The HCF of 394,466 is 2.
Lets's calculate GCF of 394,466
2 | 394, 466 |
197, 233 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 466
:1,2,233,466
Greatest Common Factor
We found the factors 394,466 . The biggest common factor number is the GCF number.
So the greatest common factor 394,466 is 2.
Lets's calculate LCM of 861,385
7 | 861, 385 |
123, 55 |
∴ So the LCM of the given numbers is 7 x 123 x 55 = 47355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47355
Therefore, the GCF of Fractions 394/861,466/385 is 2/47355
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 861,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(861,385) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(861,385) x common factors =7 x 1 = 7
LCM(861,385) = ( 861 × 385 ) / 7
LCM(861,385) = 331485 / 7
LCM(861,385) = 47355
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 394,466?
The HCF of 394,466 is 2
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 394/861, 466/385?
Answer: GCF of Numerators as per given numbers 394/861, 466/385 is
GCF of Numerators i.e. for 394,466 is 2
LCM of denominators i.e. for 861,385 is 47355.
Thus, GCF of Fractions is 2/47355.Finally, GCF of Fractions for 394/861, 466/385 is 2/47355.