Use our free GCF of Fractions Calculator tool to compute the GCF of 33/274, 945/376, 614/806 i.e 1/20759336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/274, 945/376, 614/806.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/274,945/376,614/806
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 33/274,945/376,614/806, numerators are 33,945,614
Denominators are 274,376,806
The GCF of 33,945,614 is 1 .
LCM of 274,376,806 is 20759336.
The greatest common factor of 33/274,945/376,614/806 = [GCF of 33,945,614]/[LCM of 274,376,806]= 1/20759336
Therefore, the GCF of 33/274,945/376,614/806 is 1/20759336.
To find the highest common factor of 33,945,614, we have to find the factors of both numbers and list the highest common factor.
The factors of 33 are 1, 3, 11, 33
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 614 are 1, 2, 307, 614
The HCF of 33,945,614 is 1.
Lets's calculate GCF of 33,945,614
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 614
:1,2,307,614
Greatest Common Factor
We found the factors 33,945,614 . The biggest common factor number is the GCF number.
So the greatest common factor 33,945,614 is 1.
Lets's calculate LCM of 274,376,806
2 | 274, 376, 806 |
137, 188, 403 |
∴ So the LCM of the given numbers is 2 x 137 x 188 x 403 = 20759336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20759336
Therefore, the GCF of Fractions 33/274,945/376,614/806 is 1/20759336
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 274,376,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(274,376,806) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(274,376,806) x common factors =2 x 2 = 4
LCM(274,376,806) = ( 274 × 376 × 806 ) / 4
LCM(274,376,806) = 83037344 / 4
LCM(274,376,806) = 20759336
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,945,614?
The HCF of 33,945,614 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 33/274, 945/376, 614/806?
Answer: GCF of Numerators as per given numbers 33/274, 945/376, 614/806 is
GCF of Numerators i.e. for 33,945,614 is 1
LCM of denominators i.e. for 274,376,806 is 20759336.
Thus, GCF of Fractions is 1/20759336.Finally, GCF of Fractions for 33/274, 945/376, 614/806 is 1/20759336.