GCF of 606/904, 2041/4581
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 606/904, 2041/4581 i.e 1/4141224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 606/904, 2041/4581.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 606/904,2041/4581?
Given fractions are 606/904,2041/4581
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 606/904,2041/4581, numerators are 606,2041
Denominators are 904,4581
The GCF of 606,2041 is 1 .
LCM of 904,4581 is 4141224.
The greatest common factor of 606/904,2041/4581 = [GCF of 606,2041]/[LCM of 904,4581]= 1/4141224
Therefore, the GCF of 606/904,2041/4581 is 1/4141224.
To find the highest common factor of 606,2041, we have to find the factors of both numbers and list the highest common factor.
The factors of 606 are 1, 2, 3, 6, 101, 202, 303, 606
The factors of 2041 are 1, 13, 157, 2041
The HCF of 606,2041 is 1.
Lets's calculate GCF of 606,2041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 606,2041 By Matching Biggest Common Factor Method
Now, list down the factors of 606
:1,2,3,6,101,202,303,606
Now, list down the factors of 2041
:1,13,157,2041
Greatest Common Factor
We found the factors 606,2041 . The biggest common factor number is the GCF number.
So the greatest common factor 606,2041 is 1.
Lets's calculate LCM of 904,4581
Given numbers has no common factors except 1. So, there LCM is their product i.e 4141224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4141224
Therefore, the GCF of Fractions 606/904,2041/4581 is 1/4141224
Least Common Multiple of 904,4581 with GCF Formula
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 904,4581 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(904,4581) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(904,4581) x common factors =1 x 1 = 1
LCM(904,4581) = ( 904 × 4581 ) / 1
LCM(904,4581) = 4141224 / 1
LCM(904,4581) = 4141224
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FAQs on GCF of Fractions of 606/904, 2041/4581
1. What is the HCF of 606,2041?
The HCF of 606,2041 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 606/904, 2041/4581?
Answer: GCF of Numerators as per given numbers 606/904, 2041/4581 is
GCF of Numerators i.e. for 606,2041 is 1
LCM of denominators i.e. for 904,4581 is 4141224.
Thus, GCF of Fractions is 1/4141224.Finally, GCF of Fractions for 606/904, 2041/4581 is 1/4141224.