Use our free GCF of Fractions Calculator tool to compute the GCF of 531/809, 398/500 i.e 1/404500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/809, 398/500.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/809,398/500
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 531/809,398/500, numerators are 531,398
Denominators are 809,500
The GCF of 531,398 is 1 .
LCM of 809,500 is 404500.
The greatest common factor of 531/809,398/500 = [GCF of 531,398]/[LCM of 809,500]= 1/404500
Therefore, the GCF of 531/809,398/500 is 1/404500.
To find the highest common factor of 531,398, we have to find the factors of both numbers and list the highest common factor.
The factors of 531 are 1, 3, 9, 59, 177, 531
The factors of 398 are 1, 2, 199, 398
The HCF of 531,398 is 1.
Lets's calculate GCF of 531,398
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 531
:1,3,9,59,177,531
Now, list down the factors of 398
:1,2,199,398
Greatest Common Factor
We found the factors 531,398 . The biggest common factor number is the GCF number.
So the greatest common factor 531,398 is 1.
Lets's calculate LCM of 809,500
Given numbers has no common factors except 1. So, there LCM is their product i.e 404500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/404500
Therefore, the GCF of Fractions 531/809,398/500 is 1/404500
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 809,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,500) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,500) x common factors =1 x 1 = 1
LCM(809,500) = ( 809 × 500 ) / 1
LCM(809,500) = 404500 / 1
LCM(809,500) = 404500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 531,398?
The HCF of 531,398 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 531/809, 398/500?
Answer: GCF of Numerators as per given numbers 531/809, 398/500 is
GCF of Numerators i.e. for 531,398 is 1
LCM of denominators i.e. for 809,500 is 404500.
Thus, GCF of Fractions is 1/404500.Finally, GCF of Fractions for 531/809, 398/500 is 1/404500.