GCF of 8543/809, 4114/832
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8543/809, 4114/832 i.e 1/673088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8543/809, 4114/832.
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 8543/809,4114/832?
Given fractions are 8543/809,4114/832
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 8543/809,4114/832, numerators are 8543,4114
Denominators are 809,832
The GCF of 8543,4114 is 1 .
LCM of 809,832 is 673088.
The greatest common factor of 8543/809,4114/832 = [GCF of 8543,4114]/[LCM of 809,832]= 1/673088
Therefore, the GCF of 8543/809,4114/832 is 1/673088.
To find the highest common factor of 8543,4114, we have to find the factors of both numbers and list the highest common factor.
The factors of 8543 are 1, 8543
The factors of 4114 are 1, 2, 11, 17, 22, 34, 121, 187, 242, 374, 2057, 4114
The HCF of 8543,4114 is 1.
Lets's calculate GCF of 8543,4114
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8543,4114 By Matching Biggest Common Factor Method
Now, list down the factors of 8543
:1,8543
Now, list down the factors of 4114
:1,2,11,17,22,34,121,187,242,374,2057,4114
Greatest Common Factor
We found the factors 8543,4114 . The biggest common factor number is the GCF number.
So the greatest common factor 8543,4114 is 1.
Lets's calculate LCM of 809,832
Given numbers has no common factors except 1. So, there LCM is their product i.e 673088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/673088
Therefore, the GCF of Fractions 8543/809,4114/832 is 1/673088
Least Common Multiple of 809,832 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 809,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,832) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,832) x common factors =1 x 1 = 1
LCM(809,832) = ( 809 × 832 ) / 1
LCM(809,832) = 673088 / 1
LCM(809,832) = 673088
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FAQs on GCF of Fractions of 8543/809, 4114/832
1. What is the HCF of 8543,4114?
The HCF of 8543,4114 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 8543/809, 4114/832?
Answer: GCF of Numerators as per given numbers 8543/809, 4114/832 is
GCF of Numerators i.e. for 8543,4114 is 1
LCM of denominators i.e. for 809,832 is 673088.
Thus, GCF of Fractions is 1/673088.Finally, GCF of Fractions for 8543/809, 4114/832 is 1/673088.