GCF of 2801/129, 8643/6884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2801/129, 8643/6884 i.e 1/888036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2801/129, 8643/6884.
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 2801/129,8643/6884?
Given fractions are 2801/129,8643/6884
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 2801/129,8643/6884, numerators are 2801,8643
Denominators are 129,6884
The GCF of 2801,8643 is 1 .
LCM of 129,6884 is 888036.
The greatest common factor of 2801/129,8643/6884 = [GCF of 2801,8643]/[LCM of 129,6884]= 1/888036
Therefore, the GCF of 2801/129,8643/6884 is 1/888036.
To find the highest common factor of 2801,8643, we have to find the factors of both numbers and list the highest common factor.
The factors of 2801 are 1, 2801
The factors of 8643 are 1, 3, 43, 67, 129, 201, 2881, 8643
The HCF of 2801,8643 is 1.
Lets's calculate GCF of 2801,8643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2801,8643 By Matching Biggest Common Factor Method
Now, list down the factors of 2801
:1,2801
Now, list down the factors of 8643
:1,3,43,67,129,201,2881,8643
Greatest Common Factor
We found the factors 2801,8643 . The biggest common factor number is the GCF number.
So the greatest common factor 2801,8643 is 1.
Lets's calculate LCM of 129,6884
Given numbers has no common factors except 1. So, there LCM is their product i.e 888036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/888036
Therefore, the GCF of Fractions 2801/129,8643/6884 is 1/888036
Least Common Multiple of 129,6884 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 129,6884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,6884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,6884) x common factors =1 x 1 = 1
LCM(129,6884) = ( 129 × 6884 ) / 1
LCM(129,6884) = 888036 / 1
LCM(129,6884) = 888036
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2801/129, 8643/6884
1. What is the HCF of 2801,8643?
The HCF of 2801,8643 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 2801/129, 8643/6884?
Answer: GCF of Numerators as per given numbers 2801/129, 8643/6884 is
GCF of Numerators i.e. for 2801,8643 is 1
LCM of denominators i.e. for 129,6884 is 888036.
Thus, GCF of Fractions is 1/888036.Finally, GCF of Fractions for 2801/129, 8643/6884 is 1/888036.