Use our free GCF of Fractions Calculator tool to compute the GCF of 615/864, 291/975 i.e 3/280800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/864, 291/975.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/864,291/975
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 615/864,291/975, numerators are 615,291
Denominators are 864,975
The GCF of 615,291 is 3 .
LCM of 864,975 is 280800.
The greatest common factor of 615/864,291/975 = [GCF of 615,291]/[LCM of 864,975]= 3/280800
Therefore, the GCF of 615/864,291/975 is 3/280800.
To find the highest common factor of 615,291, 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 291 are 1, 3, 97, 291
The HCF of 615,291 is 3.
Lets's calculate GCF of 615,291
3 | 615, 291 |
205, 97 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 291
:1,3,97,291
Greatest Common Factor
We found the factors 615,291 . The biggest common factor number is the GCF number.
So the greatest common factor 615,291 is 3.
Lets's calculate LCM of 864,975
3 | 864, 975 |
288, 325 |
∴ So the LCM of the given numbers is 3 x 288 x 325 = 280800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/280800
Therefore, the GCF of Fractions 615/864,291/975 is 3/280800
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 864,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,975) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(864,975) x common factors =3 x 1 = 3
LCM(864,975) = ( 864 × 975 ) / 3
LCM(864,975) = 842400 / 3
LCM(864,975) = 280800
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,291?
The HCF of 615,291 is 3
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 615/864, 291/975?
Answer: GCF of Numerators as per given numbers 615/864, 291/975 is
GCF of Numerators i.e. for 615,291 is 3
LCM of denominators i.e. for 864,975 is 280800.
Thus, GCF of Fractions is 3/280800.Finally, GCF of Fractions for 615/864, 291/975 is 3/280800.