GCF of 6586/687, 7851/8791
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6586/687, 7851/8791 i.e 1/6039417 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6586/687, 7851/8791.
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 6586/687,7851/8791?
Given fractions are 6586/687,7851/8791
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 6586/687,7851/8791, numerators are 6586,7851
Denominators are 687,8791
The GCF of 6586,7851 is 1 .
LCM of 687,8791 is 6039417.
The greatest common factor of 6586/687,7851/8791 = [GCF of 6586,7851]/[LCM of 687,8791]= 1/6039417
Therefore, the GCF of 6586/687,7851/8791 is 1/6039417.
To find the highest common factor of 6586,7851, we have to find the factors of both numbers and list the highest common factor.
The factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586
The factors of 7851 are 1, 3, 2617, 7851
The HCF of 6586,7851 is 1.
Lets's calculate GCF of 6586,7851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6586,7851 By Matching Biggest Common Factor Method
Now, list down the factors of 6586
:1,2,37,74,89,178,3293,6586
Now, list down the factors of 7851
:1,3,2617,7851
Greatest Common Factor
We found the factors 6586,7851 . The biggest common factor number is the GCF number.
So the greatest common factor 6586,7851 is 1.
Lets's calculate LCM of 687,8791
Given numbers has no common factors except 1. So, there LCM is their product i.e 6039417
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6039417
Therefore, the GCF of Fractions 6586/687,7851/8791 is 1/6039417
Least Common Multiple of 687,8791 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 687,8791 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,8791) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,8791) x common factors =1 x 1 = 1
LCM(687,8791) = ( 687 × 8791 ) / 1
LCM(687,8791) = 6039417 / 1
LCM(687,8791) = 6039417
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FAQs on GCF of Fractions of 6586/687, 7851/8791
1. What is the HCF of 6586,7851?
The HCF of 6586,7851 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 6586/687, 7851/8791?
Answer: GCF of Numerators as per given numbers 6586/687, 7851/8791 is
GCF of Numerators i.e. for 6586,7851 is 1
LCM of denominators i.e. for 687,8791 is 6039417.
Thus, GCF of Fractions is 1/6039417.Finally, GCF of Fractions for 6586/687, 7851/8791 is 1/6039417.