GCF of 8663/874, 3219/5081
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8663/874, 3219/5081 i.e 1/4440794 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8663/874, 3219/5081.
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 8663/874,3219/5081?
Given fractions are 8663/874,3219/5081
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 8663/874,3219/5081, numerators are 8663,3219
Denominators are 874,5081
The GCF of 8663,3219 is 1 .
LCM of 874,5081 is 4440794.
The greatest common factor of 8663/874,3219/5081 = [GCF of 8663,3219]/[LCM of 874,5081]= 1/4440794
Therefore, the GCF of 8663/874,3219/5081 is 1/4440794.
To find the highest common factor of 8663,3219, we have to find the factors of both numbers and list the highest common factor.
The factors of 8663 are 1, 8663
The factors of 3219 are 1, 3, 29, 37, 87, 111, 1073, 3219
The HCF of 8663,3219 is 1.
Lets's calculate GCF of 8663,3219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8663,3219 By Matching Biggest Common Factor Method
Now, list down the factors of 8663
:1,8663
Now, list down the factors of 3219
:1,3,29,37,87,111,1073,3219
Greatest Common Factor
We found the factors 8663,3219 . The biggest common factor number is the GCF number.
So the greatest common factor 8663,3219 is 1.
Lets's calculate LCM of 874,5081
Given numbers has no common factors except 1. So, there LCM is their product i.e 4440794
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4440794
Therefore, the GCF of Fractions 8663/874,3219/5081 is 1/4440794
Least Common Multiple of 874,5081 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 874,5081 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,5081) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,5081) x common factors =1 x 1 = 1
LCM(874,5081) = ( 874 × 5081 ) / 1
LCM(874,5081) = 4440794 / 1
LCM(874,5081) = 4440794
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FAQs on GCF of Fractions of 8663/874, 3219/5081
1. What is the HCF of 8663,3219?
The HCF of 8663,3219 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 8663/874, 3219/5081?
Answer: GCF of Numerators as per given numbers 8663/874, 3219/5081 is
GCF of Numerators i.e. for 8663,3219 is 1
LCM of denominators i.e. for 874,5081 is 4440794.
Thus, GCF of Fractions is 1/4440794.Finally, GCF of Fractions for 8663/874, 3219/5081 is 1/4440794.