GCF of 449/80, 192/227
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 449/80, 192/227 i.e 1/18160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 449/80, 192/227.
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 449/80,192/227?
Given fractions are 449/80,192/227
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 449/80,192/227, numerators are 449,192
Denominators are 80,227
The GCF of 449,192 is 1 .
LCM of 80,227 is 18160.
The greatest common factor of 449/80,192/227 = [GCF of 449,192]/[LCM of 80,227]= 1/18160
Therefore, the GCF of 449/80,192/227 is 1/18160.
To find the highest common factor of 449,192, we have to find the factors of both numbers and list the highest common factor.
The factors of 449 are 1, 449
The factors of 192 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
The HCF of 449,192 is 1.
Lets's calculate GCF of 449,192
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 449,192 By Matching Biggest Common Factor Method
Now, list down the factors of 449
:1,449
Now, list down the factors of 192
:1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 449,192 . The biggest common factor number is the GCF number.
So the greatest common factor 449,192 is 1.
Lets's calculate LCM of 80,227
Given numbers has no common factors except 1. So, there LCM is their product i.e 18160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18160
Therefore, the GCF of Fractions 449/80,192/227 is 1/18160
Least Common Multiple of 80,227 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 80,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,227) x common factors =1 x 1 = 1
LCM(80,227) = ( 80 × 227 ) / 1
LCM(80,227) = 18160 / 1
LCM(80,227) = 18160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 449/80, 192/227
1. What is the HCF of 449,192?
The HCF of 449,192 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 449/80, 192/227?
Answer: GCF of Numerators as per given numbers 449/80, 192/227 is
GCF of Numerators i.e. for 449,192 is 1
LCM of denominators i.e. for 80,227 is 18160.
Thus, GCF of Fractions is 1/18160.Finally, GCF of Fractions for 449/80, 192/227 is 1/18160.