GCF of 8668/763, 6027/6893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8668/763, 6027/6893 i.e 1/5259359 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8668/763, 6027/6893.
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 8668/763,6027/6893?
Given fractions are 8668/763,6027/6893
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 8668/763,6027/6893, numerators are 8668,6027
Denominators are 763,6893
The GCF of 8668,6027 is 1 .
LCM of 763,6893 is 5259359.
The greatest common factor of 8668/763,6027/6893 = [GCF of 8668,6027]/[LCM of 763,6893]= 1/5259359
Therefore, the GCF of 8668/763,6027/6893 is 1/5259359.
To find the highest common factor of 8668,6027, we have to find the factors of both numbers and list the highest common factor.
The factors of 8668 are 1, 2, 4, 11, 22, 44, 197, 394, 788, 2167, 4334, 8668
The factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027
The HCF of 8668,6027 is 1.
Lets's calculate GCF of 8668,6027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8668,6027 By Matching Biggest Common Factor Method
Now, list down the factors of 8668
:1,2,4,11,22,44,197,394,788,2167,4334,8668
Now, list down the factors of 6027
:1,3,7,21,41,49,123,147,287,861,2009,6027
Greatest Common Factor
We found the factors 8668,6027 . The biggest common factor number is the GCF number.
So the greatest common factor 8668,6027 is 1.
Lets's calculate LCM of 763,6893
Given numbers has no common factors except 1. So, there LCM is their product i.e 5259359
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5259359
Therefore, the GCF of Fractions 8668/763,6027/6893 is 1/5259359
Least Common Multiple of 763,6893 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 763,6893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,6893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,6893) x common factors =1 x 1 = 1
LCM(763,6893) = ( 763 × 6893 ) / 1
LCM(763,6893) = 5259359 / 1
LCM(763,6893) = 5259359
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FAQs on GCF of Fractions of 8668/763, 6027/6893
1. What is the HCF of 8668,6027?
The HCF of 8668,6027 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 8668/763, 6027/6893?
Answer: GCF of Numerators as per given numbers 8668/763, 6027/6893 is
GCF of Numerators i.e. for 8668,6027 is 1
LCM of denominators i.e. for 763,6893 is 5259359.
Thus, GCF of Fractions is 1/5259359.Finally, GCF of Fractions for 8668/763, 6027/6893 is 1/5259359.