Use our free GCF of Fractions Calculator tool to compute the GCF of 33/28, 204/83, 549/934 i.e 3/1085308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/28, 204/83, 549/934.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/28,204/83,549/934
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 33/28,204/83,549/934, numerators are 33,204,549
Denominators are 28,83,934
The GCF of 33,204,549 is 3 .
LCM of 28,83,934 is 1085308.
The greatest common factor of 33/28,204/83,549/934 = [GCF of 33,204,549]/[LCM of 28,83,934]= 3/1085308
Therefore, the GCF of 33/28,204/83,549/934 is 3/1085308.
To find the highest common factor of 33,204,549, 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 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The factors of 549 are 1, 3, 9, 61, 183, 549
The HCF of 33,204,549 is 3.
Lets's calculate GCF of 33,204,549
3 | 33, 204, 549 |
11, 68, 183 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Now, list down the factors of 549
:1,3,9,61,183,549
Greatest Common Factor
We found the factors 33,204,549 . The biggest common factor number is the GCF number.
So the greatest common factor 33,204,549 is 3.
Lets's calculate LCM of 28,83,934
2 | 28, 83, 934 |
14, 83, 467 |
∴ So the LCM of the given numbers is 2 x 14 x 83 x 467 = 1085308
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1085308
Therefore, the GCF of Fractions 33/28,204/83,549/934 is 3/1085308
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 28,83,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,83,934) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,83,934) x common factors =1 x 2 = 2
LCM(28,83,934) = ( 28 × 83 × 934 ) / 2
LCM(28,83,934) = 2170616 / 2
LCM(28,83,934) = 1085308
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,204,549?
The HCF of 33,204,549 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 33/28, 204/83, 549/934?
Answer: GCF of Numerators as per given numbers 33/28, 204/83, 549/934 is
GCF of Numerators i.e. for 33,204,549 is 3
LCM of denominators i.e. for 28,83,934 is 1085308.
Thus, GCF of Fractions is 3/1085308.Finally, GCF of Fractions for 33/28, 204/83, 549/934 is 3/1085308.