Use our free GCF of Fractions Calculator tool to compute the GCF of 901/99, 576/384 i.e 1/12672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 901/99, 576/384.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 901/99,576/384
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 901/99,576/384, numerators are 901,576
Denominators are 99,384
The GCF of 901,576 is 1 .
LCM of 99,384 is 12672.
The greatest common factor of 901/99,576/384 = [GCF of 901,576]/[LCM of 99,384]= 1/12672
Therefore, the GCF of 901/99,576/384 is 1/12672.
To find the highest common factor of 901,576, we have to find the factors of both numbers and list the highest common factor.
The factors of 901 are 1, 17, 53, 901
The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
The HCF of 901,576 is 1.
Lets's calculate GCF of 901,576
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 901
:1,17,53,901
Now, list down the factors of 576
:1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576
Greatest Common Factor
We found the factors 901,576 . The biggest common factor number is the GCF number.
So the greatest common factor 901,576 is 1.
Lets's calculate LCM of 99,384
3 | 99, 384 |
33, 128 |
∴ So the LCM of the given numbers is 3 x 33 x 128 = 12672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12672
Therefore, the GCF of Fractions 901/99,576/384 is 1/12672
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 99,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,384) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(99,384) x common factors =3 x 1 = 3
LCM(99,384) = ( 99 × 384 ) / 3
LCM(99,384) = 38016 / 3
LCM(99,384) = 12672
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 901,576?
The HCF of 901,576 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 901/99, 576/384?
Answer: GCF of Numerators as per given numbers 901/99, 576/384 is
GCF of Numerators i.e. for 901,576 is 1
LCM of denominators i.e. for 99,384 is 12672.
Thus, GCF of Fractions is 1/12672.Finally, GCF of Fractions for 901/99, 576/384 is 1/12672.