GCF of 3474/969, 2005/2081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3474/969, 2005/2081 i.e 1/2016489 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3474/969, 2005/2081.
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 3474/969,2005/2081?
Given fractions are 3474/969,2005/2081
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 3474/969,2005/2081, numerators are 3474,2005
Denominators are 969,2081
The GCF of 3474,2005 is 1 .
LCM of 969,2081 is 2016489.
The greatest common factor of 3474/969,2005/2081 = [GCF of 3474,2005]/[LCM of 969,2081]= 1/2016489
Therefore, the GCF of 3474/969,2005/2081 is 1/2016489.
To find the highest common factor of 3474,2005, we have to find the factors of both numbers and list the highest common factor.
The factors of 3474 are 1, 2, 3, 6, 9, 18, 193, 386, 579, 1158, 1737, 3474
The factors of 2005 are 1, 5, 401, 2005
The HCF of 3474,2005 is 1.
Lets's calculate GCF of 3474,2005
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3474,2005 By Matching Biggest Common Factor Method
Now, list down the factors of 3474
:1,2,3,6,9,18,193,386,579,1158,1737,3474
Now, list down the factors of 2005
:1,5,401,2005
Greatest Common Factor
We found the factors 3474,2005 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,2005 is 1.
Lets's calculate LCM of 969,2081
Given numbers has no common factors except 1. So, there LCM is their product i.e 2016489
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2016489
Therefore, the GCF of Fractions 3474/969,2005/2081 is 1/2016489
Least Common Multiple of 969,2081 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 969,2081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,2081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,2081) x common factors =1 x 1 = 1
LCM(969,2081) = ( 969 × 2081 ) / 1
LCM(969,2081) = 2016489 / 1
LCM(969,2081) = 2016489
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FAQs on GCF of Fractions of 3474/969, 2005/2081
1. What is the HCF of 3474,2005?
The HCF of 3474,2005 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 3474/969, 2005/2081?
Answer: GCF of Numerators as per given numbers 3474/969, 2005/2081 is
GCF of Numerators i.e. for 3474,2005 is 1
LCM of denominators i.e. for 969,2081 is 2016489.
Thus, GCF of Fractions is 1/2016489.Finally, GCF of Fractions for 3474/969, 2005/2081 is 1/2016489.