GCF of 4097/901, 1663/6866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4097/901, 1663/6866 i.e 1/6186266 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4097/901, 1663/6866.
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 4097/901,1663/6866?
Given fractions are 4097/901,1663/6866
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 4097/901,1663/6866, numerators are 4097,1663
Denominators are 901,6866
The GCF of 4097,1663 is 1 .
LCM of 901,6866 is 6186266.
The greatest common factor of 4097/901,1663/6866 = [GCF of 4097,1663]/[LCM of 901,6866]= 1/6186266
Therefore, the GCF of 4097/901,1663/6866 is 1/6186266.
To find the highest common factor of 4097,1663, we have to find the factors of both numbers and list the highest common factor.
The factors of 4097 are 1, 17, 241, 4097
The factors of 1663 are 1, 1663
The HCF of 4097,1663 is 1.
Lets's calculate GCF of 4097,1663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4097,1663 By Matching Biggest Common Factor Method
Now, list down the factors of 4097
:1,17,241,4097
Now, list down the factors of 1663
:1,1663
Greatest Common Factor
We found the factors 4097,1663 . The biggest common factor number is the GCF number.
So the greatest common factor 4097,1663 is 1.
Lets's calculate LCM of 901,6866
Given numbers has no common factors except 1. So, there LCM is their product i.e 6186266
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6186266
Therefore, the GCF of Fractions 4097/901,1663/6866 is 1/6186266
Least Common Multiple of 901,6866 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 901,6866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,6866) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,6866) x common factors =1 x 1 = 1
LCM(901,6866) = ( 901 × 6866 ) / 1
LCM(901,6866) = 6186266 / 1
LCM(901,6866) = 6186266
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FAQs on GCF of Fractions of 4097/901, 1663/6866
1. What is the HCF of 4097,1663?
The HCF of 4097,1663 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 4097/901, 1663/6866?
Answer: GCF of Numerators as per given numbers 4097/901, 1663/6866 is
GCF of Numerators i.e. for 4097,1663 is 1
LCM of denominators i.e. for 901,6866 is 6186266.
Thus, GCF of Fractions is 1/6186266.Finally, GCF of Fractions for 4097/901, 1663/6866 is 1/6186266.