GCF of 2423/413, 6109/9137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2423/413, 6109/9137 i.e 1/3773581 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2423/413, 6109/9137.
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 2423/413,6109/9137?
Given fractions are 2423/413,6109/9137
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 2423/413,6109/9137, numerators are 2423,6109
Denominators are 413,9137
The GCF of 2423,6109 is 1 .
LCM of 413,9137 is 3773581.
The greatest common factor of 2423/413,6109/9137 = [GCF of 2423,6109]/[LCM of 413,9137]= 1/3773581
Therefore, the GCF of 2423/413,6109/9137 is 1/3773581.
To find the highest common factor of 2423,6109, we have to find the factors of both numbers and list the highest common factor.
The factors of 2423 are 1, 2423
The factors of 6109 are 1, 41, 149, 6109
The HCF of 2423,6109 is 1.
Lets's calculate GCF of 2423,6109
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2423,6109 By Matching Biggest Common Factor Method
Now, list down the factors of 2423
:1,2423
Now, list down the factors of 6109
:1,41,149,6109
Greatest Common Factor
We found the factors 2423,6109 . The biggest common factor number is the GCF number.
So the greatest common factor 2423,6109 is 1.
Lets's calculate LCM of 413,9137
Given numbers has no common factors except 1. So, there LCM is their product i.e 3773581
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3773581
Therefore, the GCF of Fractions 2423/413,6109/9137 is 1/3773581
Least Common Multiple of 413,9137 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 413,9137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(413,9137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(413,9137) x common factors =1 x 1 = 1
LCM(413,9137) = ( 413 × 9137 ) / 1
LCM(413,9137) = 3773581 / 1
LCM(413,9137) = 3773581
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FAQs on GCF of Fractions of 2423/413, 6109/9137
1. What is the HCF of 2423,6109?
The HCF of 2423,6109 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 2423/413, 6109/9137?
Answer: GCF of Numerators as per given numbers 2423/413, 6109/9137 is
GCF of Numerators i.e. for 2423,6109 is 1
LCM of denominators i.e. for 413,9137 is 3773581.
Thus, GCF of Fractions is 1/3773581.Finally, GCF of Fractions for 2423/413, 6109/9137 is 1/3773581.