GCF of 5615/226, 7193/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5615/226, 7193/809 i.e 1/182834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5615/226, 7193/809.
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 5615/226,7193/809?
Given fractions are 5615/226,7193/809
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 5615/226,7193/809, numerators are 5615,7193
Denominators are 226,809
The GCF of 5615,7193 is 1 .
LCM of 226,809 is 182834.
The greatest common factor of 5615/226,7193/809 = [GCF of 5615,7193]/[LCM of 226,809]= 1/182834
Therefore, the GCF of 5615/226,7193/809 is 1/182834.
To find the highest common factor of 5615,7193, we have to find the factors of both numbers and list the highest common factor.
The factors of 5615 are 1, 5, 1123, 5615
The factors of 7193 are 1, 7193
The HCF of 5615,7193 is 1.
Lets's calculate GCF of 5615,7193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5615,7193 By Matching Biggest Common Factor Method
Now, list down the factors of 5615
:1,5,1123,5615
Now, list down the factors of 7193
:1,7193
Greatest Common Factor
We found the factors 5615,7193 . The biggest common factor number is the GCF number.
So the greatest common factor 5615,7193 is 1.
Lets's calculate LCM of 226,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 182834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182834
Therefore, the GCF of Fractions 5615/226,7193/809 is 1/182834
Least Common Multiple of 226,809 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 226,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(226,809) x common factors =1 x 1 = 1
LCM(226,809) = ( 226 × 809 ) / 1
LCM(226,809) = 182834 / 1
LCM(226,809) = 182834
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FAQs on GCF of Fractions of 5615/226, 7193/809
1. What is the HCF of 5615,7193?
The HCF of 5615,7193 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 5615/226, 7193/809?
Answer: GCF of Numerators as per given numbers 5615/226, 7193/809 is
GCF of Numerators i.e. for 5615,7193 is 1
LCM of denominators i.e. for 226,809 is 182834.
Thus, GCF of Fractions is 1/182834.Finally, GCF of Fractions for 5615/226, 7193/809 is 1/182834.