Use our free GCF of Fractions Calculator tool to compute the GCF of 933/321, 612/919 i.e 3/294999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 933/321, 612/919.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 933/321,612/919
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 933/321,612/919, numerators are 933,612
Denominators are 321,919
The GCF of 933,612 is 3 .
LCM of 321,919 is 294999.
The greatest common factor of 933/321,612/919 = [GCF of 933,612]/[LCM of 321,919]= 3/294999
Therefore, the GCF of 933/321,612/919 is 3/294999.
To find the highest common factor of 933,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 933 are 1, 3, 311, 933
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 933,612 is 3.
Lets's calculate GCF of 933,612
3 | 933, 612 |
311, 204 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 933
:1,3,311,933
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 933,612 . The biggest common factor number is the GCF number.
So the greatest common factor 933,612 is 3.
Lets's calculate LCM of 321,919
Given numbers has no common factors except 1. So, there LCM is their product i.e 294999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/294999
Therefore, the GCF of Fractions 933/321,612/919 is 3/294999
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 321,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,919) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(321,919) x common factors =1 x 1 = 1
LCM(321,919) = ( 321 × 919 ) / 1
LCM(321,919) = 294999 / 1
LCM(321,919) = 294999
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 933,612?
The HCF of 933,612 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 933/321, 612/919?
Answer: GCF of Numerators as per given numbers 933/321, 612/919 is
GCF of Numerators i.e. for 933,612 is 3
LCM of denominators i.e. for 321,919 is 294999.
Thus, GCF of Fractions is 3/294999.Finally, GCF of Fractions for 933/321, 612/919 is 3/294999.