Use our free GCF of Fractions Calculator tool to compute the GCF of 615/440, 355/439 i.e 5/193160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/440, 355/439.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/440,355/439
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 615/440,355/439, numerators are 615,355
Denominators are 440,439
The GCF of 615,355 is 5 .
LCM of 440,439 is 193160.
The greatest common factor of 615/440,355/439 = [GCF of 615,355]/[LCM of 440,439]= 5/193160
Therefore, the GCF of 615/440,355/439 is 5/193160.
To find the highest common factor of 615,355, 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 355 are 1, 5, 71, 355
The HCF of 615,355 is 5.
Lets's calculate GCF of 615,355
5 | 615, 355 |
123, 71 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 615
:1,3,5,15,41,123,205,615
Now, list down the factors of 355
:1,5,71,355
Greatest Common Factor
We found the factors 615,355 . The biggest common factor number is the GCF number.
So the greatest common factor 615,355 is 5.
Lets's calculate LCM of 440,439
Given numbers has no common factors except 1. So, there LCM is their product i.e 193160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/193160
Therefore, the GCF of Fractions 615/440,355/439 is 5/193160
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 440,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,439) x common factors =1 x 1 = 1
LCM(440,439) = ( 440 × 439 ) / 1
LCM(440,439) = 193160 / 1
LCM(440,439) = 193160
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,355?
The HCF of 615,355 is 5
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 615/440, 355/439?
Answer: GCF of Numerators as per given numbers 615/440, 355/439 is
GCF of Numerators i.e. for 615,355 is 5
LCM of denominators i.e. for 440,439 is 193160.
Thus, GCF of Fractions is 5/193160.Finally, GCF of Fractions for 615/440, 355/439 is 5/193160.