GCF of 8192/809, 7645/5121
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8192/809, 7645/5121 i.e 1/4142889 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8192/809, 7645/5121.
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 8192/809,7645/5121?
Given fractions are 8192/809,7645/5121
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 8192/809,7645/5121, numerators are 8192,7645
Denominators are 809,5121
The GCF of 8192,7645 is 1 .
LCM of 809,5121 is 4142889.
The greatest common factor of 8192/809,7645/5121 = [GCF of 8192,7645]/[LCM of 809,5121]= 1/4142889
Therefore, the GCF of 8192/809,7645/5121 is 1/4142889.
To find the highest common factor of 8192,7645, we have to find the factors of both numbers and list the highest common factor.
The factors of 8192 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192
The factors of 7645 are 1, 5, 11, 55, 139, 695, 1529, 7645
The HCF of 8192,7645 is 1.
Lets's calculate GCF of 8192,7645
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8192,7645 By Matching Biggest Common Factor Method
Now, list down the factors of 8192
:1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Now, list down the factors of 7645
:1,5,11,55,139,695,1529,7645
Greatest Common Factor
We found the factors 8192,7645 . The biggest common factor number is the GCF number.
So the greatest common factor 8192,7645 is 1.
Lets's calculate LCM of 809,5121
Given numbers has no common factors except 1. So, there LCM is their product i.e 4142889
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4142889
Therefore, the GCF of Fractions 8192/809,7645/5121 is 1/4142889
Least Common Multiple of 809,5121 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 809,5121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,5121) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,5121) x common factors =1 x 1 = 1
LCM(809,5121) = ( 809 × 5121 ) / 1
LCM(809,5121) = 4142889 / 1
LCM(809,5121) = 4142889
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FAQs on GCF of Fractions of 8192/809, 7645/5121
1. What is the HCF of 8192,7645?
The HCF of 8192,7645 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 8192/809, 7645/5121?
Answer: GCF of Numerators as per given numbers 8192/809, 7645/5121 is
GCF of Numerators i.e. for 8192,7645 is 1
LCM of denominators i.e. for 809,5121 is 4142889.
Thus, GCF of Fractions is 1/4142889.Finally, GCF of Fractions for 8192/809, 7645/5121 is 1/4142889.