GCF of 419/671, 141/204
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 419/671, 141/204 i.e 1/136884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 419/671, 141/204.
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 419/671,141/204?
Given fractions are 419/671,141/204
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 419/671,141/204, numerators are 419,141
Denominators are 671,204
The GCF of 419,141 is 1 .
LCM of 671,204 is 136884.
The greatest common factor of 419/671,141/204 = [GCF of 419,141]/[LCM of 671,204]= 1/136884
Therefore, the GCF of 419/671,141/204 is 1/136884.
To find the highest common factor of 419,141, we have to find the factors of both numbers and list the highest common factor.
The factors of 419 are 1, 419
The factors of 141 are 1, 3, 47, 141
The HCF of 419,141 is 1.
Lets's calculate GCF of 419,141
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 419,141 By Matching Biggest Common Factor Method
Now, list down the factors of 419
:1,419
Now, list down the factors of 141
:1,3,47,141
Greatest Common Factor
We found the factors 419,141 . The biggest common factor number is the GCF number.
So the greatest common factor 419,141 is 1.
Lets's calculate LCM of 671,204
Given numbers has no common factors except 1. So, there LCM is their product i.e 136884
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/136884
Therefore, the GCF of Fractions 419/671,141/204 is 1/136884
Least Common Multiple of 671,204 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 671,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,204) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,204) x common factors =1 x 1 = 1
LCM(671,204) = ( 671 × 204 ) / 1
LCM(671,204) = 136884 / 1
LCM(671,204) = 136884
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 419/671, 141/204
1. What is the HCF of 419,141?
The HCF of 419,141 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 419/671, 141/204?
Answer: GCF of Numerators as per given numbers 419/671, 141/204 is
GCF of Numerators i.e. for 419,141 is 1
LCM of denominators i.e. for 671,204 is 136884.
Thus, GCF of Fractions is 1/136884.Finally, GCF of Fractions for 419/671, 141/204 is 1/136884.