GCF of 8653/191, 8644/6761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8653/191, 8644/6761 i.e 1/1291351 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8653/191, 8644/6761.
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 8653/191,8644/6761?
Given fractions are 8653/191,8644/6761
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 8653/191,8644/6761, numerators are 8653,8644
Denominators are 191,6761
The GCF of 8653,8644 is 1 .
LCM of 191,6761 is 1291351.
The greatest common factor of 8653/191,8644/6761 = [GCF of 8653,8644]/[LCM of 191,6761]= 1/1291351
Therefore, the GCF of 8653/191,8644/6761 is 1/1291351.
To find the highest common factor of 8653,8644, we have to find the factors of both numbers and list the highest common factor.
The factors of 8653 are 1, 17, 509, 8653
The factors of 8644 are 1, 2, 4, 2161, 4322, 8644
The HCF of 8653,8644 is 1.
Lets's calculate GCF of 8653,8644
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8653,8644 By Matching Biggest Common Factor Method
Now, list down the factors of 8653
:1,17,509,8653
Now, list down the factors of 8644
:1,2,4,2161,4322,8644
Greatest Common Factor
We found the factors 8653,8644 . The biggest common factor number is the GCF number.
So the greatest common factor 8653,8644 is 1.
Lets's calculate LCM of 191,6761
Given numbers has no common factors except 1. So, there LCM is their product i.e 1291351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1291351
Therefore, the GCF of Fractions 8653/191,8644/6761 is 1/1291351
Least Common Multiple of 191,6761 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 191,6761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,6761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(191,6761) x common factors =1 x 1 = 1
LCM(191,6761) = ( 191 × 6761 ) / 1
LCM(191,6761) = 1291351 / 1
LCM(191,6761) = 1291351
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FAQs on GCF of Fractions of 8653/191, 8644/6761
1. What is the HCF of 8653,8644?
The HCF of 8653,8644 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 8653/191, 8644/6761?
Answer: GCF of Numerators as per given numbers 8653/191, 8644/6761 is
GCF of Numerators i.e. for 8653,8644 is 1
LCM of denominators i.e. for 191,6761 is 1291351.
Thus, GCF of Fractions is 1/1291351.Finally, GCF of Fractions for 8653/191, 8644/6761 is 1/1291351.