GCF of 4161/103, 8191/2944
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4161/103, 8191/2944 i.e 1/303232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4161/103, 8191/2944.
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 4161/103,8191/2944?
Given fractions are 4161/103,8191/2944
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 4161/103,8191/2944, numerators are 4161,8191
Denominators are 103,2944
The GCF of 4161,8191 is 1 .
LCM of 103,2944 is 303232.
The greatest common factor of 4161/103,8191/2944 = [GCF of 4161,8191]/[LCM of 103,2944]= 1/303232
Therefore, the GCF of 4161/103,8191/2944 is 1/303232.
To find the highest common factor of 4161,8191, we have to find the factors of both numbers and list the highest common factor.
The factors of 4161 are 1, 3, 19, 57, 73, 219, 1387, 4161
The factors of 8191 are 1, 8191
The HCF of 4161,8191 is 1.
Lets's calculate GCF of 4161,8191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4161,8191 By Matching Biggest Common Factor Method
Now, list down the factors of 4161
:1,3,19,57,73,219,1387,4161
Now, list down the factors of 8191
:1,8191
Greatest Common Factor
We found the factors 4161,8191 . The biggest common factor number is the GCF number.
So the greatest common factor 4161,8191 is 1.
Lets's calculate LCM of 103,2944
Given numbers has no common factors except 1. So, there LCM is their product i.e 303232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303232
Therefore, the GCF of Fractions 4161/103,8191/2944 is 1/303232
Least Common Multiple of 103,2944 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 103,2944 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(103,2944) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(103,2944) x common factors =1 x 1 = 1
LCM(103,2944) = ( 103 × 2944 ) / 1
LCM(103,2944) = 303232 / 1
LCM(103,2944) = 303232
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FAQs on GCF of Fractions of 4161/103, 8191/2944
1. What is the HCF of 4161,8191?
The HCF of 4161,8191 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 4161/103, 8191/2944?
Answer: GCF of Numerators as per given numbers 4161/103, 8191/2944 is
GCF of Numerators i.e. for 4161,8191 is 1
LCM of denominators i.e. for 103,2944 is 303232.
Thus, GCF of Fractions is 1/303232.Finally, GCF of Fractions for 4161/103, 8191/2944 is 1/303232.