Use our free GCF of Fractions Calculator tool to compute the GCF of 14/384, 57/332, 176/923 i.e 1/29417856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/384, 57/332, 176/923.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/384,57/332,176/923
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 14/384,57/332,176/923, numerators are 14,57,176
Denominators are 384,332,923
The GCF of 14,57,176 is 1 .
LCM of 384,332,923 is 29417856.
The greatest common factor of 14/384,57/332,176/923 = [GCF of 14,57,176]/[LCM of 384,332,923]= 1/29417856
Therefore, the GCF of 14/384,57/332,176/923 is 1/29417856.
To find the highest common factor of 14,57,176, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 57 are 1, 3, 19, 57
The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
The HCF of 14,57,176 is 1.
Lets's calculate GCF of 14,57,176
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 57
:1,3,19,57
Now, list down the factors of 176
:1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 14,57,176 . The biggest common factor number is the GCF number.
So the greatest common factor 14,57,176 is 1.
Lets's calculate LCM of 384,332,923
2 | 384, 332, 923 |
2 | 192, 166, 923 |
96, 83, 923 |
∴ So the LCM of the given numbers is 2 x 2 x 96 x 83 x 923 = 29417856
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29417856
Therefore, the GCF of Fractions 14/384,57/332,176/923 is 1/29417856
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 384,332,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,332,923) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(384,332,923) x common factors =1 x 4 = 4
LCM(384,332,923) = ( 384 × 332 × 923 ) / 4
LCM(384,332,923) = 117671424 / 4
LCM(384,332,923) = 29417856
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 14,57,176?
The HCF of 14,57,176 is 1
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 14/384, 57/332, 176/923?
Answer: GCF of Numerators as per given numbers 14/384, 57/332, 176/923 is
GCF of Numerators i.e. for 14,57,176 is 1
LCM of denominators i.e. for 384,332,923 is 29417856.
Thus, GCF of Fractions is 1/29417856.Finally, GCF of Fractions for 14/384, 57/332, 176/923 is 1/29417856.