GCF of 8566/641, 4513/9383
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8566/641, 4513/9383 i.e 1/6014503 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8566/641, 4513/9383.
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 8566/641,4513/9383?
Given fractions are 8566/641,4513/9383
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 8566/641,4513/9383, numerators are 8566,4513
Denominators are 641,9383
The GCF of 8566,4513 is 1 .
LCM of 641,9383 is 6014503.
The greatest common factor of 8566/641,4513/9383 = [GCF of 8566,4513]/[LCM of 641,9383]= 1/6014503
Therefore, the GCF of 8566/641,4513/9383 is 1/6014503.
To find the highest common factor of 8566,4513, we have to find the factors of both numbers and list the highest common factor.
The factors of 8566 are 1, 2, 4283, 8566
The factors of 4513 are 1, 4513
The HCF of 8566,4513 is 1.
Lets's calculate GCF of 8566,4513
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8566,4513 By Matching Biggest Common Factor Method
Now, list down the factors of 8566
:1,2,4283,8566
Now, list down the factors of 4513
:1,4513
Greatest Common Factor
We found the factors 8566,4513 . The biggest common factor number is the GCF number.
So the greatest common factor 8566,4513 is 1.
Lets's calculate LCM of 641,9383
Given numbers has no common factors except 1. So, there LCM is their product i.e 6014503
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6014503
Therefore, the GCF of Fractions 8566/641,4513/9383 is 1/6014503
Least Common Multiple of 641,9383 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 641,9383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,9383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,9383) x common factors =1 x 1 = 1
LCM(641,9383) = ( 641 × 9383 ) / 1
LCM(641,9383) = 6014503 / 1
LCM(641,9383) = 6014503
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8566/641, 4513/9383
1. What is the HCF of 8566,4513?
The HCF of 8566,4513 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 8566/641, 4513/9383?
Answer: GCF of Numerators as per given numbers 8566/641, 4513/9383 is
GCF of Numerators i.e. for 8566,4513 is 1
LCM of denominators i.e. for 641,9383 is 6014503.
Thus, GCF of Fractions is 1/6014503.Finally, GCF of Fractions for 8566/641, 4513/9383 is 1/6014503.