GCF of 104/233, 8661/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 104/233, 8661/857 i.e 1/199681 easily. The following is the detailed procedure to determine the greatest common factor of fractions 104/233, 8661/857.
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 104/233,8661/857?
Given fractions are 104/233,8661/857
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 104/233,8661/857, numerators are 104,8661
Denominators are 233,857
The GCF of 104,8661 is 1 .
LCM of 233,857 is 199681.
The greatest common factor of 104/233,8661/857 = [GCF of 104,8661]/[LCM of 233,857]= 1/199681
Therefore, the GCF of 104/233,8661/857 is 1/199681.
To find the highest common factor of 104,8661, we have to find the factors of both numbers and list the highest common factor.
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The factors of 8661 are 1, 3, 2887, 8661
The HCF of 104,8661 is 1.
Lets's calculate GCF of 104,8661
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 104,8661 By Matching Biggest Common Factor Method
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Now, list down the factors of 8661
:1,3,2887,8661
Greatest Common Factor
We found the factors 104,8661 . The biggest common factor number is the GCF number.
So the greatest common factor 104,8661 is 1.
Lets's calculate LCM of 233,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 199681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/199681
Therefore, the GCF of Fractions 104/233,8661/857 is 1/199681
Least Common Multiple of 233,857 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 233,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,857) x common factors =1 x 1 = 1
LCM(233,857) = ( 233 × 857 ) / 1
LCM(233,857) = 199681 / 1
LCM(233,857) = 199681
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FAQs on GCF of Fractions of 104/233, 8661/857
1. What is the HCF of 104,8661?
The HCF of 104,8661 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 104/233, 8661/857?
Answer: GCF of Numerators as per given numbers 104/233, 8661/857 is
GCF of Numerators i.e. for 104,8661 is 1
LCM of denominators i.e. for 233,857 is 199681.
Thus, GCF of Fractions is 1/199681.Finally, GCF of Fractions for 104/233, 8661/857 is 1/199681.