Use our free GCF of Fractions Calculator tool to compute the GCF of 5574/447, 3441/3594 i.e 3/535506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5574/447, 3441/3594.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5574/447,3441/3594
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 5574/447,3441/3594, numerators are 5574,3441
Denominators are 447,3594
The GCF of 5574,3441 is 3 .
LCM of 447,3594 is 535506.
The greatest common factor of 5574/447,3441/3594 = [GCF of 5574,3441]/[LCM of 447,3594]= 3/535506
Therefore, the GCF of 5574/447,3441/3594 is 3/535506.
To find the highest common factor of 5574,3441, we have to find the factors of both numbers and list the highest common factor.
The factors of 5574 are 1, 2, 3, 6, 929, 1858, 2787, 5574
The factors of 3441 are 1, 3, 31, 37, 93, 111, 1147, 3441
The HCF of 5574,3441 is 3.
Lets's calculate GCF of 5574,3441
3 | 5574, 3441 |
1858, 1147 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 5574
:1,2,3,6,929,1858,2787,5574
Now, list down the factors of 3441
:1,3,31,37,93,111,1147,3441
Greatest Common Factor
We found the factors 5574,3441 . The biggest common factor number is the GCF number.
So the greatest common factor 5574,3441 is 3.
Lets's calculate LCM of 447,3594
3 | 447, 3594 |
149, 1198 |
∴ So the LCM of the given numbers is 3 x 149 x 1198 = 535506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/535506
Therefore, the GCF of Fractions 5574/447,3441/3594 is 3/535506
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 447,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(447,3594) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(447,3594) x common factors =3 x 1 = 3
LCM(447,3594) = ( 447 × 3594 ) / 3
LCM(447,3594) = 1606518 / 3
LCM(447,3594) = 535506
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 5574,3441?
The HCF of 5574,3441 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 5574/447, 3441/3594?
Answer: GCF of Numerators as per given numbers 5574/447, 3441/3594 is
GCF of Numerators i.e. for 5574,3441 is 3
LCM of denominators i.e. for 447,3594 is 535506.
Thus, GCF of Fractions is 3/535506.Finally, GCF of Fractions for 5574/447, 3441/3594 is 3/535506.