Use our free GCF of Fractions Calculator tool to compute the GCF of 59/333, 717/372, 803/288 i.e 1/330336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/333, 717/372, 803/288.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 59/333,717/372,803/288
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 59/333,717/372,803/288, numerators are 59,717,803
Denominators are 333,372,288
The GCF of 59,717,803 is 1 .
LCM of 333,372,288 is 330336.
The greatest common factor of 59/333,717/372,803/288 = [GCF of 59,717,803]/[LCM of 333,372,288]= 1/330336
Therefore, the GCF of 59/333,717/372,803/288 is 1/330336.
To find the highest common factor of 59,717,803, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 717 are 1, 3, 239, 717
The factors of 803 are 1, 11, 73, 803
The HCF of 59,717,803 is 1.
Lets's calculate GCF of 59,717,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 59
:1,59
Now, list down the factors of 717
:1,3,239,717
Now, list down the factors of 803
:1,11,73,803
Greatest Common Factor
We found the factors 59,717,803 . The biggest common factor number is the GCF number.
So the greatest common factor 59,717,803 is 1.
Lets's calculate LCM of 333,372,288
2 | 333, 372, 288 |
2 | 333, 186, 144 |
3 | 333, 93, 72 |
3 | 111, 31, 24 |
37, 31, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 37 x 31 x 8 = 330336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330336
Therefore, the GCF of Fractions 59/333,717/372,803/288 is 1/330336
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 333,372,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,372,288) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(333,372,288) x common factors =3 x 36 = 108
LCM(333,372,288) = ( 333 × 372 × 288 ) / 108
LCM(333,372,288) = 35676288 / 108
LCM(333,372,288) = 330336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 59,717,803?
The HCF of 59,717,803 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 59/333, 717/372, 803/288?
Answer: GCF of Numerators as per given numbers 59/333, 717/372, 803/288 is
GCF of Numerators i.e. for 59,717,803 is 1
LCM of denominators i.e. for 333,372,288 is 330336.
Thus, GCF of Fractions is 1/330336.Finally, GCF of Fractions for 59/333, 717/372, 803/288 is 1/330336.