GCF of 6568/757, 6671/8443
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6568/757, 6671/8443 i.e 1/6391351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6568/757, 6671/8443.
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 6568/757,6671/8443?
Given fractions are 6568/757,6671/8443
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 6568/757,6671/8443, numerators are 6568,6671
Denominators are 757,8443
The GCF of 6568,6671 is 1 .
LCM of 757,8443 is 6391351.
The greatest common factor of 6568/757,6671/8443 = [GCF of 6568,6671]/[LCM of 757,8443]= 1/6391351
Therefore, the GCF of 6568/757,6671/8443 is 1/6391351.
To find the highest common factor of 6568,6671, we have to find the factors of both numbers and list the highest common factor.
The factors of 6568 are 1, 2, 4, 8, 821, 1642, 3284, 6568
The factors of 6671 are 1, 7, 953, 6671
The HCF of 6568,6671 is 1.
Lets's calculate GCF of 6568,6671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6568,6671 By Matching Biggest Common Factor Method
Now, list down the factors of 6568
:1,2,4,8,821,1642,3284,6568
Now, list down the factors of 6671
:1,7,953,6671
Greatest Common Factor
We found the factors 6568,6671 . The biggest common factor number is the GCF number.
So the greatest common factor 6568,6671 is 1.
Lets's calculate LCM of 757,8443
Given numbers has no common factors except 1. So, there LCM is their product i.e 6391351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6391351
Therefore, the GCF of Fractions 6568/757,6671/8443 is 1/6391351
Least Common Multiple of 757,8443 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 757,8443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,8443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,8443) x common factors =1 x 1 = 1
LCM(757,8443) = ( 757 × 8443 ) / 1
LCM(757,8443) = 6391351 / 1
LCM(757,8443) = 6391351
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FAQs on GCF of Fractions of 6568/757, 6671/8443
1. What is the HCF of 6568,6671?
The HCF of 6568,6671 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 6568/757, 6671/8443?
Answer: GCF of Numerators as per given numbers 6568/757, 6671/8443 is
GCF of Numerators i.e. for 6568,6671 is 1
LCM of denominators i.e. for 757,8443 is 6391351.
Thus, GCF of Fractions is 1/6391351.Finally, GCF of Fractions for 6568/757, 6671/8443 is 1/6391351.