Use our free GCF of Fractions Calculator tool to compute the GCF of 931/217, 573/997 i.e 1/216349 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/217, 573/997.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 931/217,573/997
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 931/217,573/997, numerators are 931,573
Denominators are 217,997
The GCF of 931,573 is 1 .
LCM of 217,997 is 216349.
The greatest common factor of 931/217,573/997 = [GCF of 931,573]/[LCM of 217,997]= 1/216349
Therefore, the GCF of 931/217,573/997 is 1/216349.
To find the highest common factor of 931,573, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 573 are 1, 3, 191, 573
The HCF of 931,573 is 1.
Lets's calculate GCF of 931,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 573
:1,3,191,573
Greatest Common Factor
We found the factors 931,573 . The biggest common factor number is the GCF number.
So the greatest common factor 931,573 is 1.
Lets's calculate LCM of 217,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 216349
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/216349
Therefore, the GCF of Fractions 931/217,573/997 is 1/216349
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 217,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(217,997) x common factors =1 x 1 = 1
LCM(217,997) = ( 217 × 997 ) / 1
LCM(217,997) = 216349 / 1
LCM(217,997) = 216349
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 931,573?
The HCF of 931,573 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 931/217, 573/997?
Answer: GCF of Numerators as per given numbers 931/217, 573/997 is
GCF of Numerators i.e. for 931,573 is 1
LCM of denominators i.e. for 217,997 is 216349.
Thus, GCF of Fractions is 1/216349.Finally, GCF of Fractions for 931/217, 573/997 is 1/216349.