Use our free GCF of Fractions Calculator tool to compute the GCF of 133/198, 600/575 i.e 1/113850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/198, 600/575.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 133/198,600/575
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 133/198,600/575, numerators are 133,600
Denominators are 198,575
The GCF of 133,600 is 1 .
LCM of 198,575 is 113850.
The greatest common factor of 133/198,600/575 = [GCF of 133,600]/[LCM of 198,575]= 1/113850
Therefore, the GCF of 133/198,600/575 is 1/113850.
To find the highest common factor of 133,600, we have to find the factors of both numbers and list the highest common factor.
The factors of 133 are 1, 7, 19, 133
The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
The HCF of 133,600 is 1.
Lets's calculate GCF of 133,600
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 133
:1,7,19,133
Now, list down the factors of 600
:1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 133,600 . The biggest common factor number is the GCF number.
So the greatest common factor 133,600 is 1.
Lets's calculate LCM of 198,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 113850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113850
Therefore, the GCF of Fractions 133/198,600/575 is 1/113850
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 198,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,575) x common factors =1 x 1 = 1
LCM(198,575) = ( 198 × 575 ) / 1
LCM(198,575) = 113850 / 1
LCM(198,575) = 113850
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 133,600?
The HCF of 133,600 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 133/198, 600/575?
Answer: GCF of Numerators as per given numbers 133/198, 600/575 is
GCF of Numerators i.e. for 133,600 is 1
LCM of denominators i.e. for 198,575 is 113850.
Thus, GCF of Fractions is 1/113850.Finally, GCF of Fractions for 133/198, 600/575 is 1/113850.