GCF of 4304/115, 9931/8663
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4304/115, 9931/8663 i.e 1/996245 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4304/115, 9931/8663.
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 4304/115,9931/8663?
Given fractions are 4304/115,9931/8663
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 4304/115,9931/8663, numerators are 4304,9931
Denominators are 115,8663
The GCF of 4304,9931 is 1 .
LCM of 115,8663 is 996245.
The greatest common factor of 4304/115,9931/8663 = [GCF of 4304,9931]/[LCM of 115,8663]= 1/996245
Therefore, the GCF of 4304/115,9931/8663 is 1/996245.
To find the highest common factor of 4304,9931, we have to find the factors of both numbers and list the highest common factor.
The factors of 4304 are 1, 2, 4, 8, 16, 269, 538, 1076, 2152, 4304
The factors of 9931 are 1, 9931
The HCF of 4304,9931 is 1.
Lets's calculate GCF of 4304,9931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4304,9931 By Matching Biggest Common Factor Method
Now, list down the factors of 4304
:1,2,4,8,16,269,538,1076,2152,4304
Now, list down the factors of 9931
:1,9931
Greatest Common Factor
We found the factors 4304,9931 . The biggest common factor number is the GCF number.
So the greatest common factor 4304,9931 is 1.
Lets's calculate LCM of 115,8663
Given numbers has no common factors except 1. So, there LCM is their product i.e 996245
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/996245
Therefore, the GCF of Fractions 4304/115,9931/8663 is 1/996245
Least Common Multiple of 115,8663 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 115,8663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,8663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,8663) x common factors =1 x 1 = 1
LCM(115,8663) = ( 115 × 8663 ) / 1
LCM(115,8663) = 996245 / 1
LCM(115,8663) = 996245
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FAQs on GCF of Fractions of 4304/115, 9931/8663
1. What is the HCF of 4304,9931?
The HCF of 4304,9931 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 4304/115, 9931/8663?
Answer: GCF of Numerators as per given numbers 4304/115, 9931/8663 is
GCF of Numerators i.e. for 4304,9931 is 1
LCM of denominators i.e. for 115,8663 is 996245.
Thus, GCF of Fractions is 1/996245.Finally, GCF of Fractions for 4304/115, 9931/8663 is 1/996245.