GCF of 6407/576, 7851/8711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6407/576, 7851/8711 i.e 1/5017536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6407/576, 7851/8711.
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 6407/576,7851/8711?
Given fractions are 6407/576,7851/8711
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 6407/576,7851/8711, numerators are 6407,7851
Denominators are 576,8711
The GCF of 6407,7851 is 1 .
LCM of 576,8711 is 5017536.
The greatest common factor of 6407/576,7851/8711 = [GCF of 6407,7851]/[LCM of 576,8711]= 1/5017536
Therefore, the GCF of 6407/576,7851/8711 is 1/5017536.
To find the highest common factor of 6407,7851, we have to find the factors of both numbers and list the highest common factor.
The factors of 6407 are 1, 43, 149, 6407
The factors of 7851 are 1, 3, 2617, 7851
The HCF of 6407,7851 is 1.
Lets's calculate GCF of 6407,7851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6407,7851 By Matching Biggest Common Factor Method
Now, list down the factors of 6407
:1,43,149,6407
Now, list down the factors of 7851
:1,3,2617,7851
Greatest Common Factor
We found the factors 6407,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 6407,7851 is 1.
Lets's calculate LCM of 576,8711
Given numbers has no common factors except 1. So, there LCM is their product i.e 5017536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5017536
Therefore, the GCF of Fractions 6407/576,7851/8711 is 1/5017536
Least Common Multiple of 576,8711 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 576,8711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(576,8711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(576,8711) x common factors =1 x 1 = 1
LCM(576,8711) = ( 576 × 8711 ) / 1
LCM(576,8711) = 5017536 / 1
LCM(576,8711) = 5017536
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FAQs on GCF of Fractions of 6407/576, 7851/8711
1. What is the HCF of 6407,7851?
The HCF of 6407,7851 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 6407/576, 7851/8711?
Answer: GCF of Numerators as per given numbers 6407/576, 7851/8711 is
GCF of Numerators i.e. for 6407,7851 is 1
LCM of denominators i.e. for 576,8711 is 5017536.
Thus, GCF of Fractions is 1/5017536.Finally, GCF of Fractions for 6407/576, 7851/8711 is 1/5017536.