Use our free GCF of Fractions Calculator tool to compute the GCF of 423/990, 998/191 i.e 1/189090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 423/990, 998/191.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 423/990,998/191
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 423/990,998/191, numerators are 423,998
Denominators are 990,191
The GCF of 423,998 is 1 .
LCM of 990,191 is 189090.
The greatest common factor of 423/990,998/191 = [GCF of 423,998]/[LCM of 990,191]= 1/189090
Therefore, the GCF of 423/990,998/191 is 1/189090.
To find the highest common factor of 423,998, we have to find the factors of both numbers and list the highest common factor.
The factors of 423 are 1, 3, 9, 47, 141, 423
The factors of 998 are 1, 2, 499, 998
The HCF of 423,998 is 1.
Lets's calculate GCF of 423,998
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 423
:1,3,9,47,141,423
Now, list down the factors of 998
:1,2,499,998
Greatest Common Factor
We found the factors 423,998 . The biggest common factor number is the GCF number.
So the greatest common factor 423,998 is 1.
Lets's calculate LCM of 990,191
Given numbers has no common factors except 1. So, there LCM is their product i.e 189090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189090
Therefore, the GCF of Fractions 423/990,998/191 is 1/189090
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 990,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(990,191) x common factors =1 x 1 = 1
LCM(990,191) = ( 990 × 191 ) / 1
LCM(990,191) = 189090 / 1
LCM(990,191) = 189090
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 423,998?
The HCF of 423,998 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 423/990, 998/191?
Answer: GCF of Numerators as per given numbers 423/990, 998/191 is
GCF of Numerators i.e. for 423,998 is 1
LCM of denominators i.e. for 990,191 is 189090.
Thus, GCF of Fractions is 1/189090.Finally, GCF of Fractions for 423/990, 998/191 is 1/189090.