GCF of 6947/576, 7695/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6947/576, 7695/413 i.e 1/237888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6947/576, 7695/413.
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 6947/576,7695/413?
Given fractions are 6947/576,7695/413
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 6947/576,7695/413, numerators are 6947,7695
Denominators are 576,413
The GCF of 6947,7695 is 1 .
LCM of 576,413 is 237888.
The greatest common factor of 6947/576,7695/413 = [GCF of 6947,7695]/[LCM of 576,413]= 1/237888
Therefore, the GCF of 6947/576,7695/413 is 1/237888.
To find the highest common factor of 6947,7695, we have to find the factors of both numbers and list the highest common factor.
The factors of 6947 are 1, 6947
The factors of 7695 are 1, 3, 5, 9, 15, 19, 27, 45, 57, 81, 95, 135, 171, 285, 405, 513, 855, 1539, 2565, 7695
The HCF of 6947,7695 is 1.
Lets's calculate GCF of 6947,7695
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6947,7695 By Matching Biggest Common Factor Method
Now, list down the factors of 6947
:1,6947
Now, list down the factors of 7695
:1,3,5,9,15,19,27,45,57,81,95,135,171,285,405,513,855,1539,2565,7695
Greatest Common Factor
We found the factors 6947,7695 . The biggest common factor number is the GCF number.
So the greatest common factor 6947,7695 is 1.
Lets's calculate LCM of 576,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 237888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237888
Therefore, the GCF of Fractions 6947/576,7695/413 is 1/237888
Least Common Multiple of 576,413 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 576,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,413) x common factors =1 x 1 = 1
LCM(576,413) = ( 576 × 413 ) / 1
LCM(576,413) = 237888 / 1
LCM(576,413) = 237888
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FAQs on GCF of Fractions of 6947/576, 7695/413
1. What is the HCF of 6947,7695?
The HCF of 6947,7695 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 6947/576, 7695/413?
Answer: GCF of Numerators as per given numbers 6947/576, 7695/413 is
GCF of Numerators i.e. for 6947,7695 is 1
LCM of denominators i.e. for 576,413 is 237888.
Thus, GCF of Fractions is 1/237888.Finally, GCF of Fractions for 6947/576, 7695/413 is 1/237888.