Use our free GCF of Fractions Calculator tool to compute the GCF of 544/288, 400/873 i.e 16/27936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 544/288, 400/873.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 544/288,400/873
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 544/288,400/873, numerators are 544,400
Denominators are 288,873
The GCF of 544,400 is 16 .
LCM of 288,873 is 27936.
The greatest common factor of 544/288,400/873 = [GCF of 544,400]/[LCM of 288,873]= 16/27936
Therefore, the GCF of 544/288,400/873 is 16/27936.
To find the highest common factor of 544,400, we have to find the factors of both numbers and list the highest common factor.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
The factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
The HCF of 544,400 is 16.
Lets's calculate GCF of 544,400
2 | 544, 400 |
2 | 272, 200 |
2 | 136, 100 |
2 | 68, 50 |
34, 25 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Now, list down the factors of 544
:1,2,4,8,16,17,32,34,68,136,272,544
Now, list down the factors of 400
:1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 544,400 . The biggest common factor number is the GCF number.
So the greatest common factor 544,400 is 16.
Lets's calculate LCM of 288,873
3 | 288, 873 |
3 | 96, 291 |
32, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 32 x 97 = 27936
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/27936
Therefore, the GCF of Fractions 544/288,400/873 is 16/27936
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 288,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(288,873) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(288,873) x common factors =9 x 1 = 9
LCM(288,873) = ( 288 × 873 ) / 9
LCM(288,873) = 251424 / 9
LCM(288,873) = 27936
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 544,400?
The HCF of 544,400 is 16
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 544/288, 400/873?
Answer: GCF of Numerators as per given numbers 544/288, 400/873 is
GCF of Numerators i.e. for 544,400 is 16
LCM of denominators i.e. for 288,873 is 27936.
Thus, GCF of Fractions is 16/27936.Finally, GCF of Fractions for 544/288, 400/873 is 16/27936.