GCF of 478/605, 329/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 478/605, 329/413 i.e 1/249865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 478/605, 329/413.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 478/605,329/413?
Given fractions are 478/605,329/413
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 478/605,329/413, numerators are 478,329
Denominators are 605,413
The GCF of 478,329 is 1 .
LCM of 605,413 is 249865.
The greatest common factor of 478/605,329/413 = [GCF of 478,329]/[LCM of 605,413]= 1/249865
Therefore, the GCF of 478/605,329/413 is 1/249865.
To find the highest common factor of 478,329, we have to find the factors of both numbers and list the highest common factor.
The factors of 478 are 1, 2, 239, 478
The factors of 329 are 1, 7, 47, 329
The HCF of 478,329 is 1.
Lets's calculate GCF of 478,329
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 478,329 By Matching Biggest Common Factor Method
Now, list down the factors of 478
:1,2,239,478
Now, list down the factors of 329
:1,7,47,329
Greatest Common Factor
We found the factors 478,329 . The biggest common factor number is the GCF number.
So the greatest common factor 478,329 is 1.
Lets's calculate LCM of 605,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 249865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249865
Therefore, the GCF of Fractions 478/605,329/413 is 1/249865
Least Common Multiple of 605,413 with GCF Formula
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 605,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,413) x common factors =1 x 1 = 1
LCM(605,413) = ( 605 × 413 ) / 1
LCM(605,413) = 249865 / 1
LCM(605,413) = 249865
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FAQs on GCF of Fractions of 478/605, 329/413
1. What is the HCF of 478,329?
The HCF of 478,329 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 478/605, 329/413?
Answer: GCF of Numerators as per given numbers 478/605, 329/413 is
GCF of Numerators i.e. for 478,329 is 1
LCM of denominators i.e. for 605,413 is 249865.
Thus, GCF of Fractions is 1/249865.Finally, GCF of Fractions for 478/605, 329/413 is 1/249865.