GCF of 4111/471, 4379/4451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4111/471, 4379/4451 i.e 1/2096421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4111/471, 4379/4451.
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 4111/471,4379/4451?
Given fractions are 4111/471,4379/4451
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 4111/471,4379/4451, numerators are 4111,4379
Denominators are 471,4451
The GCF of 4111,4379 is 1 .
LCM of 471,4451 is 2096421.
The greatest common factor of 4111/471,4379/4451 = [GCF of 4111,4379]/[LCM of 471,4451]= 1/2096421
Therefore, the GCF of 4111/471,4379/4451 is 1/2096421.
To find the highest common factor of 4111,4379, we have to find the factors of both numbers and list the highest common factor.
The factors of 4111 are 1, 4111
The factors of 4379 are 1, 29, 151, 4379
The HCF of 4111,4379 is 1.
Lets's calculate GCF of 4111,4379
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4111,4379 By Matching Biggest Common Factor Method
Now, list down the factors of 4111
:1,4111
Now, list down the factors of 4379
:1,29,151,4379
Greatest Common Factor
We found the factors 4111,4379 . The biggest common factor number is the GCF number.
So the greatest common factor 4111,4379 is 1.
Lets's calculate LCM of 471,4451
Given numbers has no common factors except 1. So, there LCM is their product i.e 2096421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2096421
Therefore, the GCF of Fractions 4111/471,4379/4451 is 1/2096421
Least Common Multiple of 471,4451 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 471,4451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(471,4451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(471,4451) x common factors =1 x 1 = 1
LCM(471,4451) = ( 471 × 4451 ) / 1
LCM(471,4451) = 2096421 / 1
LCM(471,4451) = 2096421
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FAQs on GCF of Fractions of 4111/471, 4379/4451
1. What is the HCF of 4111,4379?
The HCF of 4111,4379 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 4111/471, 4379/4451?
Answer: GCF of Numerators as per given numbers 4111/471, 4379/4451 is
GCF of Numerators i.e. for 4111,4379 is 1
LCM of denominators i.e. for 471,4451 is 2096421.
Thus, GCF of Fractions is 1/2096421.Finally, GCF of Fractions for 4111/471, 4379/4451 is 1/2096421.