GCF of 2149/311, 8023/2111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2149/311, 8023/2111 i.e 1/656521 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2149/311, 8023/2111.
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 2149/311,8023/2111?
Given fractions are 2149/311,8023/2111
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 2149/311,8023/2111, numerators are 2149,8023
Denominators are 311,2111
The GCF of 2149,8023 is 1 .
LCM of 311,2111 is 656521.
The greatest common factor of 2149/311,8023/2111 = [GCF of 2149,8023]/[LCM of 311,2111]= 1/656521
Therefore, the GCF of 2149/311,8023/2111 is 1/656521.
To find the highest common factor of 2149,8023, we have to find the factors of both numbers and list the highest common factor.
The factors of 2149 are 1, 7, 307, 2149
The factors of 8023 are 1, 71, 113, 8023
The HCF of 2149,8023 is 1.
Lets's calculate GCF of 2149,8023
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2149,8023 By Matching Biggest Common Factor Method
Now, list down the factors of 2149
:1,7,307,2149
Now, list down the factors of 8023
:1,71,113,8023
Greatest Common Factor
We found the factors 2149,8023 . The biggest common factor number is the GCF number.
So the greatest common factor 2149,8023 is 1.
Lets's calculate LCM of 311,2111
Given numbers has no common factors except 1. So, there LCM is their product i.e 656521
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/656521
Therefore, the GCF of Fractions 2149/311,8023/2111 is 1/656521
Least Common Multiple of 311,2111 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 311,2111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,2111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,2111) x common factors =1 x 1 = 1
LCM(311,2111) = ( 311 × 2111 ) / 1
LCM(311,2111) = 656521 / 1
LCM(311,2111) = 656521
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FAQs on GCF of Fractions of 2149/311, 8023/2111
1. What is the HCF of 2149,8023?
The HCF of 2149,8023 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 2149/311, 8023/2111?
Answer: GCF of Numerators as per given numbers 2149/311, 8023/2111 is
GCF of Numerators i.e. for 2149,8023 is 1
LCM of denominators i.e. for 311,2111 is 656521.
Thus, GCF of Fractions is 1/656521.Finally, GCF of Fractions for 2149/311, 8023/2111 is 1/656521.