GCF of 174/419, 405/815, 571/573
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 174/419, 405/815, 571/573 i.e 1/195670905 easily. The following is the detailed procedure to determine the greatest common factor of fractions 174/419, 405/815, 571/573.
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 174/419,405/815,571/573?
Given fractions are 174/419,405/815,571/573
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 174/419,405/815,571/573, numerators are 174,405,571
Denominators are 419,815,573
The GCF of 174,405,571 is 1 .
LCM of 419,815,573 is 195670905.
The greatest common factor of 174/419,405/815,571/573 = [GCF of 174,405,571]/[LCM of 419,815,573]= 1/195670905
Therefore, the GCF of 174/419,405/815,571/573 is 1/195670905.
To find the highest common factor of 174,405,571, we have to find the factors of both numbers and list the highest common factor.
The factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The factors of 571 are 1, 571
The HCF of 174,405,571 is 1.
Lets's calculate GCF of 174,405,571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 174,405,571 By Matching Biggest Common Factor Method
Now, list down the factors of 174
:1,2,3,6,29,58,87,174
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Now, list down the factors of 571
:1,571
Greatest Common Factor
We found the factors 174,405,571 . The biggest common factor number is the GCF number.
So the greatest common factor 174,405,571 is 1.
Lets's calculate LCM of 419,815,573
Given numbers has no common factors except 1. So, there LCM is their product i.e 195670905
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195670905
Therefore, the GCF of Fractions 174/419,405/815,571/573 is 1/195670905
Least Common Multiple of 419,815,573 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 419,815,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(419,815,573) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(419,815,573) x common factors =1 x 1 = 1
LCM(419,815,573) = ( 419 × 815 × 573 ) / 1
LCM(419,815,573) = 195670905 / 1
LCM(419,815,573) = 195670905
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 174/419, 405/815, 571/573
1. What is the HCF of 174,405,571?
The HCF of 174,405,571 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 174/419, 405/815, 571/573?
Answer: GCF of Numerators as per given numbers 174/419, 405/815, 571/573 is
GCF of Numerators i.e. for 174,405,571 is 1
LCM of denominators i.e. for 419,815,573 is 195670905.
Thus, GCF of Fractions is 1/195670905.Finally, GCF of Fractions for 174/419, 405/815, 571/573 is 1/195670905.