Use our free GCF of Fractions Calculator tool to compute the GCF of 424/115, 797/478 i.e 1/54970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 424/115, 797/478.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/115,797/478
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 424/115,797/478, numerators are 424,797
Denominators are 115,478
The GCF of 424,797 is 1 .
LCM of 115,478 is 54970.
The greatest common factor of 424/115,797/478 = [GCF of 424,797]/[LCM of 115,478]= 1/54970
Therefore, the GCF of 424/115,797/478 is 1/54970.
To find the highest common factor of 424,797, we have to find the factors of both numbers and list the highest common factor.
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The factors of 797 are 1, 797
The HCF of 424,797 is 1.
Lets's calculate GCF of 424,797
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Now, list down the factors of 797
:1,797
Greatest Common Factor
We found the factors 424,797 . The biggest common factor number is the GCF number.
So the greatest common factor 424,797 is 1.
Lets's calculate LCM of 115,478
Given numbers has no common factors except 1. So, there LCM is their product i.e 54970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54970
Therefore, the GCF of Fractions 424/115,797/478 is 1/54970
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 115,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,478) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,478) x common factors =1 x 1 = 1
LCM(115,478) = ( 115 × 478 ) / 1
LCM(115,478) = 54970 / 1
LCM(115,478) = 54970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 424,797?
The HCF of 424,797 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 424/115, 797/478?
Answer: GCF of Numerators as per given numbers 424/115, 797/478 is
GCF of Numerators i.e. for 424,797 is 1
LCM of denominators i.e. for 115,478 is 54970.
Thus, GCF of Fractions is 1/54970.Finally, GCF of Fractions for 424/115, 797/478 is 1/54970.