Use our free GCF of Fractions Calculator tool to compute the GCF of 9/647, 6/288 i.e 3/186336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/647, 6/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9/647,6/288
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 9/647,6/288, numerators are 9,6
Denominators are 647,288
The GCF of 9,6 is 3 .
LCM of 647,288 is 186336.
The greatest common factor of 9/647,6/288 = [GCF of 9,6]/[LCM of 647,288]= 3/186336
Therefore, the GCF of 9/647,6/288 is 3/186336.
To find the highest common factor of 9,6, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 6 are 1, 2, 3, 6
The HCF of 9,6 is 3.
Lets's calculate GCF of 9,6
3 | 9, 6 |
3, 2 |
∴ So the GCF of the given numbers is 3 = 3
Lets's calculate LCM of 647,288
Given numbers has no common factors except 1. So, there LCM is their product i.e 186336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/186336
Therefore, the GCF of Fractions 9/647,6/288 is 3/186336
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 647,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,288) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,288) x common factors =1 x 1 = 1
LCM(647,288) = ( 647 × 288 ) / 1
LCM(647,288) = 186336 / 1
LCM(647,288) = 186336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 9,6?
The HCF of 9,6 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 9/647, 6/288?
Answer: GCF of Numerators as per given numbers 9/647, 6/288 is
GCF of Numerators i.e. for 9,6 is 3
LCM of denominators i.e. for 647,288 is 186336.
Thus, GCF of Fractions is 3/186336.Finally, GCF of Fractions for 9/647, 6/288 is 3/186336.