GCF of 7741/512, 7051/161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7741/512, 7051/161 i.e 1/82432 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7741/512, 7051/161.
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 7741/512,7051/161?
Given fractions are 7741/512,7051/161
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 7741/512,7051/161, numerators are 7741,7051
Denominators are 512,161
The GCF of 7741,7051 is 1 .
LCM of 512,161 is 82432.
The greatest common factor of 7741/512,7051/161 = [GCF of 7741,7051]/[LCM of 512,161]= 1/82432
Therefore, the GCF of 7741/512,7051/161 is 1/82432.
To find the highest common factor of 7741,7051, we have to find the factors of both numbers and list the highest common factor.
The factors of 7741 are 1, 7741
The factors of 7051 are 1, 11, 641, 7051
The HCF of 7741,7051 is 1.
Lets's calculate GCF of 7741,7051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7741,7051 By Matching Biggest Common Factor Method
Now, list down the factors of 7741
:1,7741
Now, list down the factors of 7051
:1,11,641,7051
Greatest Common Factor
We found the factors 7741,7051 . The biggest common factor number is the GCF number.
So the greatest common factor 7741,7051 is 1.
Lets's calculate LCM of 512,161
Given numbers has no common factors except 1. So, there LCM is their product i.e 82432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82432
Therefore, the GCF of Fractions 7741/512,7051/161 is 1/82432
Least Common Multiple of 512,161 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 512,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(512,161) x common factors =1 x 1 = 1
LCM(512,161) = ( 512 × 161 ) / 1
LCM(512,161) = 82432 / 1
LCM(512,161) = 82432
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FAQs on GCF of Fractions of 7741/512, 7051/161
1. What is the HCF of 7741,7051?
The HCF of 7741,7051 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 7741/512, 7051/161?
Answer: GCF of Numerators as per given numbers 7741/512, 7051/161 is
GCF of Numerators i.e. for 7741,7051 is 1
LCM of denominators i.e. for 512,161 is 82432.
Thus, GCF of Fractions is 1/82432.Finally, GCF of Fractions for 7741/512, 7051/161 is 1/82432.