Use our free GCF of Fractions Calculator tool to compute the GCF of 303/138, 413/335 i.e 1/46230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/138, 413/335.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 303/138,413/335
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 303/138,413/335, numerators are 303,413
Denominators are 138,335
The GCF of 303,413 is 1 .
LCM of 138,335 is 46230.
The greatest common factor of 303/138,413/335 = [GCF of 303,413]/[LCM of 138,335]= 1/46230
Therefore, the GCF of 303/138,413/335 is 1/46230.
To find the highest common factor of 303,413, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 413 are 1, 7, 59, 413
The HCF of 303,413 is 1.
Lets's calculate GCF of 303,413
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 413
:1,7,59,413
Greatest Common Factor
We found the factors 303,413 . The biggest common factor number is the GCF number.
So the greatest common factor 303,413 is 1.
Lets's calculate LCM of 138,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 46230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46230
Therefore, the GCF of Fractions 303/138,413/335 is 1/46230
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 138,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,335) x common factors =1 x 1 = 1
LCM(138,335) = ( 138 × 335 ) / 1
LCM(138,335) = 46230 / 1
LCM(138,335) = 46230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 303,413?
The HCF of 303,413 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 303/138, 413/335?
Answer: GCF of Numerators as per given numbers 303/138, 413/335 is
GCF of Numerators i.e. for 303,413 is 1
LCM of denominators i.e. for 138,335 is 46230.
Thus, GCF of Fractions is 1/46230.Finally, GCF of Fractions for 303/138, 413/335 is 1/46230.