GCF of 2215/227, 6405/8109
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2215/227, 6405/8109 i.e 5/1840743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2215/227, 6405/8109.
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 2215/227,6405/8109?
Given fractions are 2215/227,6405/8109
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 2215/227,6405/8109, numerators are 2215,6405
Denominators are 227,8109
The GCF of 2215,6405 is 5 .
LCM of 227,8109 is 1840743.
The greatest common factor of 2215/227,6405/8109 = [GCF of 2215,6405]/[LCM of 227,8109]= 5/1840743
Therefore, the GCF of 2215/227,6405/8109 is 5/1840743.
To find the highest common factor of 2215,6405, we have to find the factors of both numbers and list the highest common factor.
The factors of 2215 are 1, 5, 443, 2215
The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405
The HCF of 2215,6405 is 5.
Lets's calculate GCF of 2215,6405
| 5 | 2215, 6405 |
| 443, 1281 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2215,6405 By Matching Biggest Common Factor Method
Now, list down the factors of 2215
:1,5,443,2215
Now, list down the factors of 6405
:1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 2215,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 2215,6405 is 5.
Lets's calculate LCM of 227,8109
Given numbers has no common factors except 1. So, there LCM is their product i.e 1840743
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1840743
Therefore, the GCF of Fractions 2215/227,6405/8109 is 5/1840743
Least Common Multiple of 227,8109 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 227,8109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(227,8109) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(227,8109) x common factors =1 x 1 = 1
LCM(227,8109) = ( 227 × 8109 ) / 1
LCM(227,8109) = 1840743 / 1
LCM(227,8109) = 1840743
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FAQs on GCF of Fractions of 2215/227, 6405/8109
1. What is the HCF of 2215,6405?
The HCF of 2215,6405 is 5
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 2215/227, 6405/8109?
Answer: GCF of Numerators as per given numbers 2215/227, 6405/8109 is
GCF of Numerators i.e. for 2215,6405 is 5
LCM of denominators i.e. for 227,8109 is 1840743.
Thus, GCF of Fractions is 5/1840743.Finally, GCF of Fractions for 2215/227, 6405/8109 is 5/1840743.