Use our free GCF of Fractions Calculator tool to compute the GCF of 394/311, 234/984 i.e 2/306024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/311, 234/984.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 394/311,234/984
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 394/311,234/984, numerators are 394,234
Denominators are 311,984
The GCF of 394,234 is 2 .
LCM of 311,984 is 306024.
The greatest common factor of 394/311,234/984 = [GCF of 394,234]/[LCM of 311,984]= 2/306024
Therefore, the GCF of 394/311,234/984 is 2/306024.
To find the highest common factor of 394,234, 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 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
The HCF of 394,234 is 2.
Lets's calculate GCF of 394,234
2 | 394, 234 |
197, 117 |
∴ 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 234
:1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 394,234 . The biggest common factor number is the GCF number.
So the greatest common factor 394,234 is 2.
Lets's calculate LCM of 311,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 306024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/306024
Therefore, the GCF of Fractions 394/311,234/984 is 2/306024
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 311,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,984) x common factors =1 x 1 = 1
LCM(311,984) = ( 311 × 984 ) / 1
LCM(311,984) = 306024 / 1
LCM(311,984) = 306024
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 394,234?
The HCF of 394,234 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 394/311, 234/984?
Answer: GCF of Numerators as per given numbers 394/311, 234/984 is
GCF of Numerators i.e. for 394,234 is 2
LCM of denominators i.e. for 311,984 is 306024.
Thus, GCF of Fractions is 2/306024.Finally, GCF of Fractions for 394/311, 234/984 is 2/306024.