Use our free GCF of Fractions Calculator tool to compute the GCF of 268/320, 394/563 i.e 2/180160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/320, 394/563.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/320,394/563
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 268/320,394/563, numerators are 268,394
Denominators are 320,563
The GCF of 268,394 is 2 .
LCM of 320,563 is 180160.
The greatest common factor of 268/320,394/563 = [GCF of 268,394]/[LCM of 320,563]= 2/180160
Therefore, the GCF of 268/320,394/563 is 2/180160.
To find the highest common factor of 268,394, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 394 are 1, 2, 197, 394
The HCF of 268,394 is 2.
Lets's calculate GCF of 268,394
2 | 268, 394 |
134, 197 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 394
:1,2,197,394
Greatest Common Factor
We found the factors 268,394 . The biggest common factor number is the GCF number.
So the greatest common factor 268,394 is 2.
Lets's calculate LCM of 320,563
Given numbers has no common factors except 1. So, there LCM is their product i.e 180160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/180160
Therefore, the GCF of Fractions 268/320,394/563 is 2/180160
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 320,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,563) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(320,563) x common factors =1 x 1 = 1
LCM(320,563) = ( 320 × 563 ) / 1
LCM(320,563) = 180160 / 1
LCM(320,563) = 180160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 268,394?
The HCF of 268,394 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 268/320, 394/563?
Answer: GCF of Numerators as per given numbers 268/320, 394/563 is
GCF of Numerators i.e. for 268,394 is 2
LCM of denominators i.e. for 320,563 is 180160.
Thus, GCF of Fractions is 2/180160.Finally, GCF of Fractions for 268/320, 394/563 is 2/180160.