GCF of 8219/227, 1909/4589
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8219/227, 1909/4589 i.e 1/1041703 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8219/227, 1909/4589.
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 8219/227,1909/4589?
Given fractions are 8219/227,1909/4589
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 8219/227,1909/4589, numerators are 8219,1909
Denominators are 227,4589
The GCF of 8219,1909 is 1 .
LCM of 227,4589 is 1041703.
The greatest common factor of 8219/227,1909/4589 = [GCF of 8219,1909]/[LCM of 227,4589]= 1/1041703
Therefore, the GCF of 8219/227,1909/4589 is 1/1041703.
To find the highest common factor of 8219,1909, we have to find the factors of both numbers and list the highest common factor.
The factors of 8219 are 1, 8219
The factors of 1909 are 1, 23, 83, 1909
The HCF of 8219,1909 is 1.
Lets's calculate GCF of 8219,1909
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8219,1909 By Matching Biggest Common Factor Method
Now, list down the factors of 8219
:1,8219
Now, list down the factors of 1909
:1,23,83,1909
Greatest Common Factor
We found the factors 8219,1909 . The biggest common factor number is the GCF number.
So the greatest common factor 8219,1909 is 1.
Lets's calculate LCM of 227,4589
Given numbers has no common factors except 1. So, there LCM is their product i.e 1041703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1041703
Therefore, the GCF of Fractions 8219/227,1909/4589 is 1/1041703
Least Common Multiple of 227,4589 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 227,4589 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,4589) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,4589) x common factors =1 x 1 = 1
LCM(227,4589) = ( 227 × 4589 ) / 1
LCM(227,4589) = 1041703 / 1
LCM(227,4589) = 1041703
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FAQs on GCF of Fractions of 8219/227, 1909/4589
1. What is the HCF of 8219,1909?
The HCF of 8219,1909 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 8219/227, 1909/4589?
Answer: GCF of Numerators as per given numbers 8219/227, 1909/4589 is
GCF of Numerators i.e. for 8219,1909 is 1
LCM of denominators i.e. for 227,4589 is 1041703.
Thus, GCF of Fractions is 1/1041703.Finally, GCF of Fractions for 8219/227, 1909/4589 is 1/1041703.