Use our free GCF of Fractions Calculator tool to compute the GCF of 591/500, 197/807 i.e 197/403500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/500, 197/807.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 591/500,197/807
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 591/500,197/807, numerators are 591,197
Denominators are 500,807
The GCF of 591,197 is 197 .
LCM of 500,807 is 403500.
The greatest common factor of 591/500,197/807 = [GCF of 591,197]/[LCM of 500,807]= 197/403500
Therefore, the GCF of 591/500,197/807 is 197/403500.
To find the highest common factor of 591,197, we have to find the factors of both numbers and list the highest common factor.
The factors of 591 are 1, 3, 197, 591
The factors of 197 are 1, 197
The HCF of 591,197 is 197.
Lets's calculate GCF of 591,197
197 | 591, 197 |
3, 1 |
∴ So the GCF of the given numbers is 197 = 197
Now, list down the factors of 591
:1,3,197,591
Now, list down the factors of 197
:1,197
Greatest Common Factor
We found the factors 591,197 . The biggest common factor number is the GCF number.
So the greatest common factor 591,197 is 197.
Lets's calculate LCM of 500,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 403500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 197/403500
Therefore, the GCF of Fractions 591/500,197/807 is 197/403500
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 500,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(500,807) x common factors =1 x 1 = 1
LCM(500,807) = ( 500 × 807 ) / 1
LCM(500,807) = 403500 / 1
LCM(500,807) = 403500
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 591,197?
The HCF of 591,197 is 197
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 591/500, 197/807?
Answer: GCF of Numerators as per given numbers 591/500, 197/807 is
GCF of Numerators i.e. for 591,197 is 197
LCM of denominators i.e. for 500,807 is 403500.
Thus, GCF of Fractions is 197/403500.Finally, GCF of Fractions for 591/500, 197/807 is 197/403500.