GCF of 6081/816, 5504/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6081/816, 5504/161 i.e 1/131376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6081/816, 5504/161.
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 6081/816,5504/161?
Given fractions are 6081/816,5504/161
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 6081/816,5504/161, numerators are 6081,5504
Denominators are 816,161
The GCF of 6081,5504 is 1 .
LCM of 816,161 is 131376.
The greatest common factor of 6081/816,5504/161 = [GCF of 6081,5504]/[LCM of 816,161]= 1/131376
Therefore, the GCF of 6081/816,5504/161 is 1/131376.
To find the highest common factor of 6081,5504, we have to find the factors of both numbers and list the highest common factor.
The factors of 6081 are 1, 3, 2027, 6081
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The HCF of 6081,5504 is 1.
Lets's calculate GCF of 6081,5504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6081,5504 By Matching Biggest Common Factor Method
Now, list down the factors of 6081
:1,3,2027,6081
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Greatest Common Factor
We found the factors 6081,5504 . The biggest common factor number is the GCF number.
So the greatest common factor 6081,5504 is 1.
Lets's calculate LCM of 816,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 131376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131376
Therefore, the GCF of Fractions 6081/816,5504/161 is 1/131376
Least Common Multiple of 816,161 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 816,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(816,161) x common factors =1 x 1 = 1
LCM(816,161) = ( 816 × 161 ) / 1
LCM(816,161) = 131376 / 1
LCM(816,161) = 131376
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FAQs on GCF of Fractions of 6081/816, 5504/161
1. What is the HCF of 6081,5504?
The HCF of 6081,5504 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 6081/816, 5504/161?
Answer: GCF of Numerators as per given numbers 6081/816, 5504/161 is
GCF of Numerators i.e. for 6081,5504 is 1
LCM of denominators i.e. for 816,161 is 131376.
Thus, GCF of Fractions is 1/131376.Finally, GCF of Fractions for 6081/816, 5504/161 is 1/131376.