Use our free GCF of Fractions Calculator tool to compute the GCF of 298/959, 405/508 i.e 1/487172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/959, 405/508.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 298/959,405/508
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 298/959,405/508, numerators are 298,405
Denominators are 959,508
The GCF of 298,405 is 1 .
LCM of 959,508 is 487172.
The greatest common factor of 298/959,405/508 = [GCF of 298,405]/[LCM of 959,508]= 1/487172
Therefore, the GCF of 298/959,405/508 is 1/487172.
To find the highest common factor of 298,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 298,405 is 1.
Lets's calculate GCF of 298,405
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 298,405 . The biggest common factor number is the GCF number.
So the greatest common factor 298,405 is 1.
Lets's calculate LCM of 959,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 487172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487172
Therefore, the GCF of Fractions 298/959,405/508 is 1/487172
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 959,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,508) x common factors =1 x 1 = 1
LCM(959,508) = ( 959 × 508 ) / 1
LCM(959,508) = 487172 / 1
LCM(959,508) = 487172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 298,405?
The HCF of 298,405 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 298/959, 405/508?
Answer: GCF of Numerators as per given numbers 298/959, 405/508 is
GCF of Numerators i.e. for 298,405 is 1
LCM of denominators i.e. for 959,508 is 487172.
Thus, GCF of Fractions is 1/487172.Finally, GCF of Fractions for 298/959, 405/508 is 1/487172.