Use our free GCF of Fractions Calculator tool to compute the GCF of 333/70, 489/619 i.e 3/43330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 333/70, 489/619.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 333/70,489/619
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 333/70,489/619, numerators are 333,489
Denominators are 70,619
The GCF of 333,489 is 3 .
LCM of 70,619 is 43330.
The greatest common factor of 333/70,489/619 = [GCF of 333,489]/[LCM of 70,619]= 3/43330
Therefore, the GCF of 333/70,489/619 is 3/43330.
To find the highest common factor of 333,489, we have to find the factors of both numbers and list the highest common factor.
The factors of 333 are 1, 3, 9, 37, 111, 333
The factors of 489 are 1, 3, 163, 489
The HCF of 333,489 is 3.
Lets's calculate GCF of 333,489
3 | 333, 489 |
111, 163 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 333
:1,3,9,37,111,333
Now, list down the factors of 489
:1,3,163,489
Greatest Common Factor
We found the factors 333,489 . The biggest common factor number is the GCF number.
So the greatest common factor 333,489 is 3.
Lets's calculate LCM of 70,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 43330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43330
Therefore, the GCF of Fractions 333/70,489/619 is 3/43330
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 70,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,619) x common factors =1 x 1 = 1
LCM(70,619) = ( 70 × 619 ) / 1
LCM(70,619) = 43330 / 1
LCM(70,619) = 43330
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 333,489?
The HCF of 333,489 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 333/70, 489/619?
Answer: GCF of Numerators as per given numbers 333/70, 489/619 is
GCF of Numerators i.e. for 333,489 is 3
LCM of denominators i.e. for 70,619 is 43330.
Thus, GCF of Fractions is 3/43330.Finally, GCF of Fractions for 333/70, 489/619 is 3/43330.