GCF of 6108/404, 2827/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6108/404, 2827/405 i.e 1/163620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6108/404, 2827/405.
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 6108/404,2827/405?
Given fractions are 6108/404,2827/405
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 6108/404,2827/405, numerators are 6108,2827
Denominators are 404,405
The GCF of 6108,2827 is 1 .
LCM of 404,405 is 163620.
The greatest common factor of 6108/404,2827/405 = [GCF of 6108,2827]/[LCM of 404,405]= 1/163620
Therefore, the GCF of 6108/404,2827/405 is 1/163620.
To find the highest common factor of 6108,2827, we have to find the factors of both numbers and list the highest common factor.
The factors of 6108 are 1, 2, 3, 4, 6, 12, 509, 1018, 1527, 2036, 3054, 6108
The factors of 2827 are 1, 11, 257, 2827
The HCF of 6108,2827 is 1.
Lets's calculate GCF of 6108,2827
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6108,2827 By Matching Biggest Common Factor Method
Now, list down the factors of 6108
:1,2,3,4,6,12,509,1018,1527,2036,3054,6108
Now, list down the factors of 2827
:1,11,257,2827
Greatest Common Factor
We found the factors 6108,2827 . The biggest common factor number is the GCF number.
So the greatest common factor 6108,2827 is 1.
Lets's calculate LCM of 404,405
Given numbers has no common factors except 1. So, there LCM is their product i.e 163620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163620
Therefore, the GCF of Fractions 6108/404,2827/405 is 1/163620
Least Common Multiple of 404,405 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 404,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,405) x common factors =1 x 1 = 1
LCM(404,405) = ( 404 × 405 ) / 1
LCM(404,405) = 163620 / 1
LCM(404,405) = 163620
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FAQs on GCF of Fractions of 6108/404, 2827/405
1. What is the HCF of 6108,2827?
The HCF of 6108,2827 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 6108/404, 2827/405?
Answer: GCF of Numerators as per given numbers 6108/404, 2827/405 is
GCF of Numerators i.e. for 6108,2827 is 1
LCM of denominators i.e. for 404,405 is 163620.
Thus, GCF of Fractions is 1/163620.Finally, GCF of Fractions for 6108/404, 2827/405 is 1/163620.