Use our free GCF of Fractions Calculator tool to compute the GCF of 413/404, 734/181 i.e 1/73124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 413/404, 734/181.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 413/404,734/181
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 413/404,734/181, numerators are 413,734
Denominators are 404,181
The GCF of 413,734 is 1 .
LCM of 404,181 is 73124.
The greatest common factor of 413/404,734/181 = [GCF of 413,734]/[LCM of 404,181]= 1/73124
Therefore, the GCF of 413/404,734/181 is 1/73124.
To find the highest common factor of 413,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 413 are 1, 7, 59, 413
The factors of 734 are 1, 2, 367, 734
The HCF of 413,734 is 1.
Lets's calculate GCF of 413,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 413
:1,7,59,413
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 413,734 . The biggest common factor number is the GCF number.
So the greatest common factor 413,734 is 1.
Lets's calculate LCM of 404,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 73124
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/73124
Therefore, the GCF of Fractions 413/404,734/181 is 1/73124
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 404,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,181) x common factors =1 x 1 = 1
LCM(404,181) = ( 404 × 181 ) / 1
LCM(404,181) = 73124 / 1
LCM(404,181) = 73124
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 413,734?
The HCF of 413,734 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 413/404, 734/181?
Answer: GCF of Numerators as per given numbers 413/404, 734/181 is
GCF of Numerators i.e. for 413,734 is 1
LCM of denominators i.e. for 404,181 is 73124.
Thus, GCF of Fractions is 1/73124.Finally, GCF of Fractions for 413/404, 734/181 is 1/73124.