Use our free GCF of Fractions Calculator tool to compute the GCF of 993/37, 731/322 i.e 1/11914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 993/37, 731/322.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/37,731/322
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 993/37,731/322, numerators are 993,731
Denominators are 37,322
The GCF of 993,731 is 1 .
LCM of 37,322 is 11914.
The greatest common factor of 993/37,731/322 = [GCF of 993,731]/[LCM of 37,322]= 1/11914
Therefore, the GCF of 993/37,731/322 is 1/11914.
To find the highest common factor of 993,731, we have to find the factors of both numbers and list the highest common factor.
The factors of 993 are 1, 3, 331, 993
The factors of 731 are 1, 17, 43, 731
The HCF of 993,731 is 1.
Lets's calculate GCF of 993,731
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 993
:1,3,331,993
Now, list down the factors of 731
:1,17,43,731
Greatest Common Factor
We found the factors 993,731 . The biggest common factor number is the GCF number.
So the greatest common factor 993,731 is 1.
Lets's calculate LCM of 37,322
Given numbers has no common factors except 1. So, there LCM is their product i.e 11914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11914
Therefore, the GCF of Fractions 993/37,731/322 is 1/11914
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 37,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,322) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,322) x common factors =1 x 1 = 1
LCM(37,322) = ( 37 × 322 ) / 1
LCM(37,322) = 11914 / 1
LCM(37,322) = 11914
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 993,731?
The HCF of 993,731 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 993/37, 731/322?
Answer: GCF of Numerators as per given numbers 993/37, 731/322 is
GCF of Numerators i.e. for 993,731 is 1
LCM of denominators i.e. for 37,322 is 11914.
Thus, GCF of Fractions is 1/11914.Finally, GCF of Fractions for 993/37, 731/322 is 1/11914.