GCF of 2404/241, 4090/4721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2404/241, 4090/4721 i.e 2/1137761 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2404/241, 4090/4721.
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 2404/241,4090/4721?
Given fractions are 2404/241,4090/4721
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 2404/241,4090/4721, numerators are 2404,4090
Denominators are 241,4721
The GCF of 2404,4090 is 2 .
LCM of 241,4721 is 1137761.
The greatest common factor of 2404/241,4090/4721 = [GCF of 2404,4090]/[LCM of 241,4721]= 2/1137761
Therefore, the GCF of 2404/241,4090/4721 is 2/1137761.
To find the highest common factor of 2404,4090, we have to find the factors of both numbers and list the highest common factor.
The factors of 2404 are 1, 2, 4, 601, 1202, 2404
The factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090
The HCF of 2404,4090 is 2.
Lets's calculate GCF of 2404,4090
| 2 | 2404, 4090 |
| 1202, 2045 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2404,4090 By Matching Biggest Common Factor Method
Now, list down the factors of 2404
:1,2,4,601,1202,2404
Now, list down the factors of 4090
:1,2,5,10,409,818,2045,4090
Greatest Common Factor
We found the factors 2404,4090 . The biggest common factor number is the GCF number.
So the greatest common factor 2404,4090 is 2.
Lets's calculate LCM of 241,4721
Given numbers has no common factors except 1. So, there LCM is their product i.e 1137761
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1137761
Therefore, the GCF of Fractions 2404/241,4090/4721 is 2/1137761
Least Common Multiple of 241,4721 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 241,4721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,4721) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,4721) x common factors =1 x 1 = 1
LCM(241,4721) = ( 241 × 4721 ) / 1
LCM(241,4721) = 1137761 / 1
LCM(241,4721) = 1137761
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FAQs on GCF of Fractions of 2404/241, 4090/4721
1. What is the HCF of 2404,4090?
The HCF of 2404,4090 is 2
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 2404/241, 4090/4721?
Answer: GCF of Numerators as per given numbers 2404/241, 4090/4721 is
GCF of Numerators i.e. for 2404,4090 is 2
LCM of denominators i.e. for 241,4721 is 1137761.
Thus, GCF of Fractions is 2/1137761.Finally, GCF of Fractions for 2404/241, 4090/4721 is 2/1137761.