GCF of 9109/407, 6806/5234
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9109/407, 6806/5234 i.e 1/2130238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9109/407, 6806/5234.
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 9109/407,6806/5234?
Given fractions are 9109/407,6806/5234
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 9109/407,6806/5234, numerators are 9109,6806
Denominators are 407,5234
The GCF of 9109,6806 is 1 .
LCM of 407,5234 is 2130238.
The greatest common factor of 9109/407,6806/5234 = [GCF of 9109,6806]/[LCM of 407,5234]= 1/2130238
Therefore, the GCF of 9109/407,6806/5234 is 1/2130238.
To find the highest common factor of 9109,6806, we have to find the factors of both numbers and list the highest common factor.
The factors of 9109 are 1, 9109
The factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806
The HCF of 9109,6806 is 1.
Lets's calculate GCF of 9109,6806
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9109,6806 By Matching Biggest Common Factor Method
Now, list down the factors of 9109
:1,9109
Now, list down the factors of 6806
:1,2,41,82,83,166,3403,6806
Greatest Common Factor
We found the factors 9109,6806 . The biggest common factor number is the GCF number.
So the greatest common factor 9109,6806 is 1.
Lets's calculate LCM of 407,5234
Given numbers has no common factors except 1. So, there LCM is their product i.e 2130238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2130238
Therefore, the GCF of Fractions 9109/407,6806/5234 is 1/2130238
Least Common Multiple of 407,5234 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 407,5234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,5234) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,5234) x common factors =1 x 1 = 1
LCM(407,5234) = ( 407 × 5234 ) / 1
LCM(407,5234) = 2130238 / 1
LCM(407,5234) = 2130238
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FAQs on GCF of Fractions of 9109/407, 6806/5234
1. What is the HCF of 9109,6806?
The HCF of 9109,6806 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 9109/407, 6806/5234?
Answer: GCF of Numerators as per given numbers 9109/407, 6806/5234 is
GCF of Numerators i.e. for 9109,6806 is 1
LCM of denominators i.e. for 407,5234 is 2130238.
Thus, GCF of Fractions is 1/2130238.Finally, GCF of Fractions for 9109/407, 6806/5234 is 1/2130238.