Use our free GCF of Fractions Calculator tool to compute the GCF of 2339/440, 9133/5411 i.e 1/2380840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2339/440, 9133/5411.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2339/440,9133/5411
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 2339/440,9133/5411, numerators are 2339,9133
Denominators are 440,5411
The GCF of 2339,9133 is 1 .
LCM of 440,5411 is 2380840.
The greatest common factor of 2339/440,9133/5411 = [GCF of 2339,9133]/[LCM of 440,5411]= 1/2380840
Therefore, the GCF of 2339/440,9133/5411 is 1/2380840.
To find the highest common factor of 2339,9133, we have to find the factors of both numbers and list the highest common factor.
The factors of 2339 are 1, 2339
The factors of 9133 are 1, 9133
The HCF of 2339,9133 is 1.
Lets's calculate GCF of 2339,9133
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 2339
:1,2339
Now, list down the factors of 9133
:1,9133
Greatest Common Factor
We found the factors 2339,9133 . The biggest common factor number is the GCF number.
So the greatest common factor 2339,9133 is 1.
Lets's calculate LCM of 440,5411
Given numbers has no common factors except 1. So, there LCM is their product i.e 2380840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380840
Therefore, the GCF of Fractions 2339/440,9133/5411 is 1/2380840
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 440,5411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,5411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(440,5411) x common factors =1 x 1 = 1
LCM(440,5411) = ( 440 × 5411 ) / 1
LCM(440,5411) = 2380840 / 1
LCM(440,5411) = 2380840
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 2339,9133?
The HCF of 2339,9133 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 2339/440, 9133/5411?
Answer: GCF of Numerators as per given numbers 2339/440, 9133/5411 is
GCF of Numerators i.e. for 2339,9133 is 1
LCM of denominators i.e. for 440,5411 is 2380840.
Thus, GCF of Fractions is 1/2380840.Finally, GCF of Fractions for 2339/440, 9133/5411 is 1/2380840.