GCF of 2771/289, 2536/2999
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2771/289, 2536/2999 i.e 1/866711 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2771/289, 2536/2999.
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 2771/289,2536/2999?
Given fractions are 2771/289,2536/2999
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 2771/289,2536/2999, numerators are 2771,2536
Denominators are 289,2999
The GCF of 2771,2536 is 1 .
LCM of 289,2999 is 866711.
The greatest common factor of 2771/289,2536/2999 = [GCF of 2771,2536]/[LCM of 289,2999]= 1/866711
Therefore, the GCF of 2771/289,2536/2999 is 1/866711.
To find the highest common factor of 2771,2536, we have to find the factors of both numbers and list the highest common factor.
The factors of 2771 are 1, 17, 163, 2771
The factors of 2536 are 1, 2, 4, 8, 317, 634, 1268, 2536
The HCF of 2771,2536 is 1.
Lets's calculate GCF of 2771,2536
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2771,2536 By Matching Biggest Common Factor Method
Now, list down the factors of 2771
:1,17,163,2771
Now, list down the factors of 2536
:1,2,4,8,317,634,1268,2536
Greatest Common Factor
We found the factors 2771,2536 . The biggest common factor number is the GCF number.
So the greatest common factor 2771,2536 is 1.
Lets's calculate LCM of 289,2999
Given numbers has no common factors except 1. So, there LCM is their product i.e 866711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866711
Therefore, the GCF of Fractions 2771/289,2536/2999 is 1/866711
Least Common Multiple of 289,2999 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 289,2999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,2999) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,2999) x common factors =1 x 1 = 1
LCM(289,2999) = ( 289 × 2999 ) / 1
LCM(289,2999) = 866711 / 1
LCM(289,2999) = 866711
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2771/289, 2536/2999
1. What is the HCF of 2771,2536?
The HCF of 2771,2536 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 2771/289, 2536/2999?
Answer: GCF of Numerators as per given numbers 2771/289, 2536/2999 is
GCF of Numerators i.e. for 2771,2536 is 1
LCM of denominators i.e. for 289,2999 is 866711.
Thus, GCF of Fractions is 1/866711.Finally, GCF of Fractions for 2771/289, 2536/2999 is 1/866711.