GCF of 3975/419, 6519/2021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3975/419, 6519/2021 i.e 159/846799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3975/419, 6519/2021.
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 3975/419,6519/2021?
Given fractions are 3975/419,6519/2021
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 3975/419,6519/2021, numerators are 3975,6519
Denominators are 419,2021
The GCF of 3975,6519 is 159 .
LCM of 419,2021 is 846799.
The greatest common factor of 3975/419,6519/2021 = [GCF of 3975,6519]/[LCM of 419,2021]= 159/846799
Therefore, the GCF of 3975/419,6519/2021 is 159/846799.
To find the highest common factor of 3975,6519, we have to find the factors of both numbers and list the highest common factor.
The factors of 3975 are 1, 3, 5, 15, 25, 53, 75, 159, 265, 795, 1325, 3975
The factors of 6519 are 1, 3, 41, 53, 123, 159, 2173, 6519
The HCF of 3975,6519 is 159.
Lets's calculate GCF of 3975,6519
| 3 | 3975, 6519 |
| 53 | 1325, 2173 |
| 25, 41 |
∴ So the GCF of the given numbers is 3 x 53 = 159
Greatest Common Factor of 3975,6519 By Matching Biggest Common Factor Method
Now, list down the factors of 3975
:1,3,5,15,25,53,75,159,265,795,1325,3975
Now, list down the factors of 6519
:1,3,41,53,123,159,2173,6519
Greatest Common Factor
We found the factors 3975,6519 . The biggest common factor number is the GCF number.
So the greatest common factor 3975,6519 is 159.
Lets's calculate LCM of 419,2021
Given numbers has no common factors except 1. So, there LCM is their product i.e 846799
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 159/846799
Therefore, the GCF of Fractions 3975/419,6519/2021 is 159/846799
Least Common Multiple of 419,2021 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 419,2021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,2021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,2021) x common factors =1 x 1 = 1
LCM(419,2021) = ( 419 × 2021 ) / 1
LCM(419,2021) = 846799 / 1
LCM(419,2021) = 846799
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FAQs on GCF of Fractions of 3975/419, 6519/2021
1. What is the HCF of 3975,6519?
The HCF of 3975,6519 is 159
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 3975/419, 6519/2021?
Answer: GCF of Numerators as per given numbers 3975/419, 6519/2021 is
GCF of Numerators i.e. for 3975,6519 is 159
LCM of denominators i.e. for 419,2021 is 846799.
Thus, GCF of Fractions is 159/846799.Finally, GCF of Fractions for 3975/419, 6519/2021 is 159/846799.