GCF of 8144/109, 2079/249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8144/109, 2079/249 i.e 1/27141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8144/109, 2079/249.
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 8144/109,2079/249?
Given fractions are 8144/109,2079/249
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 8144/109,2079/249, numerators are 8144,2079
Denominators are 109,249
The GCF of 8144,2079 is 1 .
LCM of 109,249 is 27141.
The greatest common factor of 8144/109,2079/249 = [GCF of 8144,2079]/[LCM of 109,249]= 1/27141
Therefore, the GCF of 8144/109,2079/249 is 1/27141.
To find the highest common factor of 8144,2079, we have to find the factors of both numbers and list the highest common factor.
The factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144
The factors of 2079 are 1, 3, 7, 9, 11, 21, 27, 33, 63, 77, 99, 189, 231, 297, 693, 2079
The HCF of 8144,2079 is 1.
Lets's calculate GCF of 8144,2079
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8144,2079 By Matching Biggest Common Factor Method
Now, list down the factors of 8144
:1,2,4,8,16,509,1018,2036,4072,8144
Now, list down the factors of 2079
:1,3,7,9,11,21,27,33,63,77,99,189,231,297,693,2079
Greatest Common Factor
We found the factors 8144,2079 . The biggest common factor number is the GCF number.
So the greatest common factor 8144,2079 is 1.
Lets's calculate LCM of 109,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 27141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27141
Therefore, the GCF of Fractions 8144/109,2079/249 is 1/27141
Least Common Multiple of 109,249 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 109,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(109,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(109,249) x common factors =1 x 1 = 1
LCM(109,249) = ( 109 × 249 ) / 1
LCM(109,249) = 27141 / 1
LCM(109,249) = 27141
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FAQs on GCF of Fractions of 8144/109, 2079/249
1. What is the HCF of 8144,2079?
The HCF of 8144,2079 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 8144/109, 2079/249?
Answer: GCF of Numerators as per given numbers 8144/109, 2079/249 is
GCF of Numerators i.e. for 8144,2079 is 1
LCM of denominators i.e. for 109,249 is 27141.
Thus, GCF of Fractions is 1/27141.Finally, GCF of Fractions for 8144/109, 2079/249 is 1/27141.