GCF of 8669/477, 8163/6871
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8669/477, 8163/6871 i.e 1/3277467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8669/477, 8163/6871.
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 8669/477,8163/6871?
Given fractions are 8669/477,8163/6871
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 8669/477,8163/6871, numerators are 8669,8163
Denominators are 477,6871
The GCF of 8669,8163 is 1 .
LCM of 477,6871 is 3277467.
The greatest common factor of 8669/477,8163/6871 = [GCF of 8669,8163]/[LCM of 477,6871]= 1/3277467
Therefore, the GCF of 8669/477,8163/6871 is 1/3277467.
To find the highest common factor of 8669,8163, we have to find the factors of both numbers and list the highest common factor.
The factors of 8669 are 1, 8669
The factors of 8163 are 1, 3, 9, 907, 2721, 8163
The HCF of 8669,8163 is 1.
Lets's calculate GCF of 8669,8163
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8669,8163 By Matching Biggest Common Factor Method
Now, list down the factors of 8669
:1,8669
Now, list down the factors of 8163
:1,3,9,907,2721,8163
Greatest Common Factor
We found the factors 8669,8163 . The biggest common factor number is the GCF number.
So the greatest common factor 8669,8163 is 1.
Lets's calculate LCM of 477,6871
Given numbers has no common factors except 1. So, there LCM is their product i.e 3277467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3277467
Therefore, the GCF of Fractions 8669/477,8163/6871 is 1/3277467
Least Common Multiple of 477,6871 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 477,6871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,6871) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,6871) x common factors =1 x 1 = 1
LCM(477,6871) = ( 477 × 6871 ) / 1
LCM(477,6871) = 3277467 / 1
LCM(477,6871) = 3277467
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8669/477, 8163/6871
1. What is the HCF of 8669,8163?
The HCF of 8669,8163 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 8669/477, 8163/6871?
Answer: GCF of Numerators as per given numbers 8669/477, 8163/6871 is
GCF of Numerators i.e. for 8669,8163 is 1
LCM of denominators i.e. for 477,6871 is 3277467.
Thus, GCF of Fractions is 1/3277467.Finally, GCF of Fractions for 8669/477, 8163/6871 is 1/3277467.