Use our free GCF of Fractions Calculator tool to compute the GCF of 393/837, 285/447 i.e 3/124713 easily. The following is the detailed procedure to determine the greatest common factor of fractions 393/837, 285/447.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 393/837,285/447
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 393/837,285/447, numerators are 393,285
Denominators are 837,447
The GCF of 393,285 is 3 .
LCM of 837,447 is 124713.
The greatest common factor of 393/837,285/447 = [GCF of 393,285]/[LCM of 837,447]= 3/124713
Therefore, the GCF of 393/837,285/447 is 3/124713.
To find the highest common factor of 393,285, we have to find the factors of both numbers and list the highest common factor.
The factors of 393 are 1, 3, 131, 393
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The HCF of 393,285 is 3.
Lets's calculate GCF of 393,285
3 | 393, 285 |
131, 95 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 393
:1,3,131,393
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 393,285 . The biggest common factor number is the GCF number.
So the greatest common factor 393,285 is 3.
Lets's calculate LCM of 837,447
3 | 837, 447 |
279, 149 |
∴ So the LCM of the given numbers is 3 x 279 x 149 = 124713
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/124713
Therefore, the GCF of Fractions 393/837,285/447 is 3/124713
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 837,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(837,447) x common factors =3 x 1 = 3
LCM(837,447) = ( 837 × 447 ) / 3
LCM(837,447) = 374139 / 3
LCM(837,447) = 124713
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 393,285?
The HCF of 393,285 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 393/837, 285/447?
Answer: GCF of Numerators as per given numbers 393/837, 285/447 is
GCF of Numerators i.e. for 393,285 is 3
LCM of denominators i.e. for 837,447 is 124713.
Thus, GCF of Fractions is 3/124713.Finally, GCF of Fractions for 393/837, 285/447 is 3/124713.