GCF of 4121/409, 3664/2800
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4121/409, 3664/2800 i.e 1/1145200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4121/409, 3664/2800.
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 4121/409,3664/2800?
Given fractions are 4121/409,3664/2800
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 4121/409,3664/2800, numerators are 4121,3664
Denominators are 409,2800
The GCF of 4121,3664 is 1 .
LCM of 409,2800 is 1145200.
The greatest common factor of 4121/409,3664/2800 = [GCF of 4121,3664]/[LCM of 409,2800]= 1/1145200
Therefore, the GCF of 4121/409,3664/2800 is 1/1145200.
To find the highest common factor of 4121,3664, we have to find the factors of both numbers and list the highest common factor.
The factors of 4121 are 1, 13, 317, 4121
The factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664
The HCF of 4121,3664 is 1.
Lets's calculate GCF of 4121,3664
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4121,3664 By Matching Biggest Common Factor Method
Now, list down the factors of 4121
:1,13,317,4121
Now, list down the factors of 3664
:1,2,4,8,16,229,458,916,1832,3664
Greatest Common Factor
We found the factors 4121,3664 . The biggest common factor number is the GCF number.
So the greatest common factor 4121,3664 is 1.
Lets's calculate LCM of 409,2800
Given numbers has no common factors except 1. So, there LCM is their product i.e 1145200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1145200
Therefore, the GCF of Fractions 4121/409,3664/2800 is 1/1145200
Least Common Multiple of 409,2800 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 409,2800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,2800) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,2800) x common factors =1 x 1 = 1
LCM(409,2800) = ( 409 × 2800 ) / 1
LCM(409,2800) = 1145200 / 1
LCM(409,2800) = 1145200
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FAQs on GCF of Fractions of 4121/409, 3664/2800
1. What is the HCF of 4121,3664?
The HCF of 4121,3664 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 4121/409, 3664/2800?
Answer: GCF of Numerators as per given numbers 4121/409, 3664/2800 is
GCF of Numerators i.e. for 4121,3664 is 1
LCM of denominators i.e. for 409,2800 is 1145200.
Thus, GCF of Fractions is 1/1145200.Finally, GCF of Fractions for 4121/409, 3664/2800 is 1/1145200.