Use our free GCF of Fractions Calculator tool to compute the GCF of 168/284, 939/288 i.e 3/20448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/284, 939/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 168/284,939/288
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 168/284,939/288, numerators are 168,939
Denominators are 284,288
The GCF of 168,939 is 3 .
LCM of 284,288 is 20448.
The greatest common factor of 168/284,939/288 = [GCF of 168,939]/[LCM of 284,288]= 3/20448
Therefore, the GCF of 168/284,939/288 is 3/20448.
To find the highest common factor of 168,939, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 939 are 1, 3, 313, 939
The HCF of 168,939 is 3.
Lets's calculate GCF of 168,939
3 | 168, 939 |
56, 313 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 939
:1,3,313,939
Greatest Common Factor
We found the factors 168,939 . The biggest common factor number is the GCF number.
So the greatest common factor 168,939 is 3.
Lets's calculate LCM of 284,288
2 | 284, 288 |
2 | 142, 144 |
71, 72 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 72 = 20448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20448
Therefore, the GCF of Fractions 168/284,939/288 is 3/20448
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 284,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,288) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,288) x common factors =4 x 1 = 4
LCM(284,288) = ( 284 × 288 ) / 4
LCM(284,288) = 81792 / 4
LCM(284,288) = 20448
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 168,939?
The HCF of 168,939 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 168/284, 939/288?
Answer: GCF of Numerators as per given numbers 168/284, 939/288 is
GCF of Numerators i.e. for 168,939 is 3
LCM of denominators i.e. for 284,288 is 20448.
Thus, GCF of Fractions is 3/20448.Finally, GCF of Fractions for 168/284, 939/288 is 3/20448.