GCF of 394/80, 381/5959
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 394/80, 381/5959 i.e 1/476720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 394/80, 381/5959.
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 394/80,381/5959?
Given fractions are 394/80,381/5959
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 394/80,381/5959, numerators are 394,381
Denominators are 80,5959
The GCF of 394,381 is 1 .
LCM of 80,5959 is 476720.
The greatest common factor of 394/80,381/5959 = [GCF of 394,381]/[LCM of 80,5959]= 1/476720
Therefore, the GCF of 394/80,381/5959 is 1/476720.
To find the highest common factor of 394,381, 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 381 are 1, 3, 127, 381
The HCF of 394,381 is 1.
Lets's calculate GCF of 394,381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 394,381 By Matching Biggest Common Factor Method
Now, list down the factors of 394
:1,2,197,394
Now, list down the factors of 381
:1,3,127,381
Greatest Common Factor
We found the factors 394,381 . The biggest common factor number is the GCF number.
So the greatest common factor 394,381 is 1.
Lets's calculate LCM of 80,5959
Given numbers has no common factors except 1. So, there LCM is their product i.e 476720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476720
Therefore, the GCF of Fractions 394/80,381/5959 is 1/476720
Least Common Multiple of 80,5959 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 80,5959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,5959) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,5959) x common factors =1 x 1 = 1
LCM(80,5959) = ( 80 × 5959 ) / 1
LCM(80,5959) = 476720 / 1
LCM(80,5959) = 476720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 394/80, 381/5959
1. What is the HCF of 394,381?
The HCF of 394,381 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 394/80, 381/5959?
Answer: GCF of Numerators as per given numbers 394/80, 381/5959 is
GCF of Numerators i.e. for 394,381 is 1
LCM of denominators i.e. for 80,5959 is 476720.
Thus, GCF of Fractions is 1/476720.Finally, GCF of Fractions for 394/80, 381/5959 is 1/476720.