Use our free GCF of Fractions Calculator tool to compute the GCF of 909/401, 974/249 i.e 1/99849 easily. The following is the detailed procedure to determine the greatest common factor of fractions 909/401, 974/249.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 909/401,974/249
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 909/401,974/249, numerators are 909,974
Denominators are 401,249
The GCF of 909,974 is 1 .
LCM of 401,249 is 99849.
The greatest common factor of 909/401,974/249 = [GCF of 909,974]/[LCM of 401,249]= 1/99849
Therefore, the GCF of 909/401,974/249 is 1/99849.
To find the highest common factor of 909,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 909 are 1, 3, 9, 101, 303, 909
The factors of 974 are 1, 2, 487, 974
The HCF of 909,974 is 1.
Lets's calculate GCF of 909,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 909
:1,3,9,101,303,909
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 909,974 . The biggest common factor number is the GCF number.
So the greatest common factor 909,974 is 1.
Lets's calculate LCM of 401,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 99849
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99849
Therefore, the GCF of Fractions 909/401,974/249 is 1/99849
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 401,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(401,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(401,249) x common factors =1 x 1 = 1
LCM(401,249) = ( 401 × 249 ) / 1
LCM(401,249) = 99849 / 1
LCM(401,249) = 99849
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 909,974?
The HCF of 909,974 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 909/401, 974/249?
Answer: GCF of Numerators as per given numbers 909/401, 974/249 is
GCF of Numerators i.e. for 909,974 is 1
LCM of denominators i.e. for 401,249 is 99849.
Thus, GCF of Fractions is 1/99849.Finally, GCF of Fractions for 909/401, 974/249 is 1/99849.