Use our free GCF of Fractions Calculator tool to compute the GCF of 4040/302, 9033/5607 i.e 1/1693314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4040/302, 9033/5607.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4040/302,9033/5607
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 4040/302,9033/5607, numerators are 4040,9033
Denominators are 302,5607
The GCF of 4040,9033 is 1 .
LCM of 302,5607 is 1693314.
The greatest common factor of 4040/302,9033/5607 = [GCF of 4040,9033]/[LCM of 302,5607]= 1/1693314
Therefore, the GCF of 4040/302,9033/5607 is 1/1693314.
To find the highest common factor of 4040,9033, we have to find the factors of both numbers and list the highest common factor.
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
The factors of 9033 are 1, 3, 3011, 9033
The HCF of 4040,9033 is 1.
Lets's calculate GCF of 4040,9033
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 4040
:1,2,4,5,8,10,20,40,101,202,404,505,808,1010,2020,4040
Now, list down the factors of 9033
:1,3,3011,9033
Greatest Common Factor
We found the factors 4040,9033 . The biggest common factor number is the GCF number.
So the greatest common factor 4040,9033 is 1.
Lets's calculate LCM of 302,5607
Given numbers has no common factors except 1. So, there LCM is their product i.e 1693314
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1693314
Therefore, the GCF of Fractions 4040/302,9033/5607 is 1/1693314
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 302,5607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,5607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,5607) x common factors =1 x 1 = 1
LCM(302,5607) = ( 302 × 5607 ) / 1
LCM(302,5607) = 1693314 / 1
LCM(302,5607) = 1693314
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 4040,9033?
The HCF of 4040,9033 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 4040/302, 9033/5607?
Answer: GCF of Numerators as per given numbers 4040/302, 9033/5607 is
GCF of Numerators i.e. for 4040,9033 is 1
LCM of denominators i.e. for 302,5607 is 1693314.
Thus, GCF of Fractions is 1/1693314.Finally, GCF of Fractions for 4040/302, 9033/5607 is 1/1693314.