Use our free GCF of Fractions Calculator tool to compute the GCF of 615/159, 150/233 i.e 15/37047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/159, 150/233.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/159,150/233
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 615/159,150/233, numerators are 615,150
Denominators are 159,233
The GCF of 615,150 is 15 .
LCM of 159,233 is 37047.
The greatest common factor of 615/159,150/233 = [GCF of 615,150]/[LCM of 159,233]= 15/37047
Therefore, the GCF of 615/159,150/233 is 15/37047.
To find the highest common factor of 615,150, we have to find the factors of both numbers and list the highest common factor.
The factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 615,150 is 15.
Lets's calculate GCF of 615,150
3 | 615, 150 |
5 | 205, 50 |
41, 10 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 615,150 . The biggest common factor number is the GCF number.
So the greatest common factor 615,150 is 15.
Lets's calculate LCM of 159,233
Given numbers has no common factors except 1. So, there LCM is their product i.e 37047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/37047
Therefore, the GCF of Fractions 615/159,150/233 is 15/37047
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 159,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,233) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,233) x common factors =1 x 1 = 1
LCM(159,233) = ( 159 × 233 ) / 1
LCM(159,233) = 37047 / 1
LCM(159,233) = 37047
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,150?
The HCF of 615,150 is 15
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 615/159, 150/233?
Answer: GCF of Numerators as per given numbers 615/159, 150/233 is
GCF of Numerators i.e. for 615,150 is 15
LCM of denominators i.e. for 159,233 is 37047.
Thus, GCF of Fractions is 15/37047.Finally, GCF of Fractions for 615/159, 150/233 is 15/37047.