GCF of 2005/429, 1881/9461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2005/429, 1881/9461 i.e 1/4058769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2005/429, 1881/9461.
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 2005/429,1881/9461?
Given fractions are 2005/429,1881/9461
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 2005/429,1881/9461, numerators are 2005,1881
Denominators are 429,9461
The GCF of 2005,1881 is 1 .
LCM of 429,9461 is 4058769.
The greatest common factor of 2005/429,1881/9461 = [GCF of 2005,1881]/[LCM of 429,9461]= 1/4058769
Therefore, the GCF of 2005/429,1881/9461 is 1/4058769.
To find the highest common factor of 2005,1881, we have to find the factors of both numbers and list the highest common factor.
The factors of 2005 are 1, 5, 401, 2005
The factors of 1881 are 1, 3, 9, 11, 19, 33, 57, 99, 171, 209, 627, 1881
The HCF of 2005,1881 is 1.
Lets's calculate GCF of 2005,1881
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2005,1881 By Matching Biggest Common Factor Method
Now, list down the factors of 2005
:1,5,401,2005
Now, list down the factors of 1881
:1,3,9,11,19,33,57,99,171,209,627,1881
Greatest Common Factor
We found the factors 2005,1881 . The biggest common factor number is the GCF number.
So the greatest common factor 2005,1881 is 1.
Lets's calculate LCM of 429,9461
Given numbers has no common factors except 1. So, there LCM is their product i.e 4058769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4058769
Therefore, the GCF of Fractions 2005/429,1881/9461 is 1/4058769
Least Common Multiple of 429,9461 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 429,9461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,9461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,9461) x common factors =1 x 1 = 1
LCM(429,9461) = ( 429 × 9461 ) / 1
LCM(429,9461) = 4058769 / 1
LCM(429,9461) = 4058769
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FAQs on GCF of Fractions of 2005/429, 1881/9461
1. What is the HCF of 2005,1881?
The HCF of 2005,1881 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 2005/429, 1881/9461?
Answer: GCF of Numerators as per given numbers 2005/429, 1881/9461 is
GCF of Numerators i.e. for 2005,1881 is 1
LCM of denominators i.e. for 429,9461 is 4058769.
Thus, GCF of Fractions is 1/4058769.Finally, GCF of Fractions for 2005/429, 1881/9461 is 1/4058769.