Use our free GCF of Fractions Calculator tool to compute the GCF of 615/155, 582/564 i.e 3/87420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/155, 582/564.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/155,582/564
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 615/155,582/564, numerators are 615,582
Denominators are 155,564
The GCF of 615,582 is 3 .
LCM of 155,564 is 87420.
The greatest common factor of 615/155,582/564 = [GCF of 615,582]/[LCM of 155,564]= 3/87420
Therefore, the GCF of 615/155,582/564 is 3/87420.
To find the highest common factor of 615,582, 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 582 are 1, 2, 3, 6, 97, 194, 291, 582
The HCF of 615,582 is 3.
Lets's calculate GCF of 615,582
3 | 615, 582 |
205, 194 |
∴ 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 582
:1,2,3,6,97,194,291,582
Greatest Common Factor
We found the factors 615,582 . The biggest common factor number is the GCF number.
So the greatest common factor 615,582 is 3.
Lets's calculate LCM of 155,564
Given numbers has no common factors except 1. So, there LCM is their product i.e 87420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/87420
Therefore, the GCF of Fractions 615/155,582/564 is 3/87420
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 155,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,564) x common factors =1 x 1 = 1
LCM(155,564) = ( 155 × 564 ) / 1
LCM(155,564) = 87420 / 1
LCM(155,564) = 87420
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,582?
The HCF of 615,582 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 615/155, 582/564?
Answer: GCF of Numerators as per given numbers 615/155, 582/564 is
GCF of Numerators i.e. for 615,582 is 3
LCM of denominators i.e. for 155,564 is 87420.
Thus, GCF of Fractions is 3/87420.Finally, GCF of Fractions for 615/155, 582/564 is 3/87420.