Use our free GCF of Fractions Calculator tool to compute the GCF of 33/219, 23/5489 i.e 1/1202091 easily. The following is the detailed procedure to determine the greatest common factor of fractions 33/219, 23/5489.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/219,23/5489
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 33/219,23/5489, numerators are 33,23
Denominators are 219,5489
The GCF of 33,23 is 1 .
LCM of 219,5489 is 1202091.
The greatest common factor of 33/219,23/5489 = [GCF of 33,23]/[LCM of 219,5489]= 1/1202091
Therefore, the GCF of 33/219,23/5489 is 1/1202091.
To find the highest common factor of 33,23, 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 23 are 1, 23
The HCF of 33,23 is 1.
Lets's calculate GCF of 33,23
∴ So GCF of numbers is 1 because of no common factors present between them.
Lets's calculate LCM of 219,5489
Given numbers has no common factors except 1. So, there LCM is their product i.e 1202091
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1202091
Therefore, the GCF of Fractions 33/219,23/5489 is 1/1202091
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 219,5489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,5489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,5489) x common factors =1 x 1 = 1
LCM(219,5489) = ( 219 × 5489 ) / 1
LCM(219,5489) = 1202091 / 1
LCM(219,5489) = 1202091
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 33,23?
The HCF of 33,23 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 33/219, 23/5489?
Answer: GCF of Numerators as per given numbers 33/219, 23/5489 is
GCF of Numerators i.e. for 33,23 is 1
LCM of denominators i.e. for 219,5489 is 1202091.
Thus, GCF of Fractions is 1/1202091.Finally, GCF of Fractions for 33/219, 23/5489 is 1/1202091.