Use our free GCF of Fractions Calculator tool to compute the GCF of 615/584, 432/551 i.e 3/321784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 615/584, 432/551.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 615/584,432/551
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 615/584,432/551, numerators are 615,432
Denominators are 584,551
The GCF of 615,432 is 3 .
LCM of 584,551 is 321784.
The greatest common factor of 615/584,432/551 = [GCF of 615,432]/[LCM of 584,551]= 3/321784
Therefore, the GCF of 615/584,432/551 is 3/321784.
To find the highest common factor of 615,432, 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 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 615,432 is 3.
Lets's calculate GCF of 615,432
3 | 615, 432 |
205, 144 |
∴ 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 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 615,432 . The biggest common factor number is the GCF number.
So the greatest common factor 615,432 is 3.
Lets's calculate LCM of 584,551
Given numbers has no common factors except 1. So, there LCM is their product i.e 321784
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/321784
Therefore, the GCF of Fractions 615/584,432/551 is 3/321784
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 584,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(584,551) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(584,551) x common factors =1 x 1 = 1
LCM(584,551) = ( 584 × 551 ) / 1
LCM(584,551) = 321784 / 1
LCM(584,551) = 321784
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 615,432?
The HCF of 615,432 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 615/584, 432/551?
Answer: GCF of Numerators as per given numbers 615/584, 432/551 is
GCF of Numerators i.e. for 615,432 is 3
LCM of denominators i.e. for 584,551 is 321784.
Thus, GCF of Fractions is 3/321784.Finally, GCF of Fractions for 615/584, 432/551 is 3/321784.