GCF of 2149/307, 3673/3161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2149/307, 3673/3161 i.e 1/970427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2149/307, 3673/3161.
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 2149/307,3673/3161?
Given fractions are 2149/307,3673/3161
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 2149/307,3673/3161, numerators are 2149,3673
Denominators are 307,3161
The GCF of 2149,3673 is 1 .
LCM of 307,3161 is 970427.
The greatest common factor of 2149/307,3673/3161 = [GCF of 2149,3673]/[LCM of 307,3161]= 1/970427
Therefore, the GCF of 2149/307,3673/3161 is 1/970427.
To find the highest common factor of 2149,3673, 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 3673 are 1, 3673
The HCF of 2149,3673 is 1.
Lets's calculate GCF of 2149,3673
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2149,3673 By Matching Biggest Common Factor Method
Now, list down the factors of 2149
:1,7,307,2149
Now, list down the factors of 3673
:1,3673
Greatest Common Factor
We found the factors 2149,3673 . The biggest common factor number is the GCF number.
So the greatest common factor 2149,3673 is 1.
Lets's calculate LCM of 307,3161
Given numbers has no common factors except 1. So, there LCM is their product i.e 970427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/970427
Therefore, the GCF of Fractions 2149/307,3673/3161 is 1/970427
Least Common Multiple of 307,3161 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 307,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,3161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,3161) x common factors =1 x 1 = 1
LCM(307,3161) = ( 307 × 3161 ) / 1
LCM(307,3161) = 970427 / 1
LCM(307,3161) = 970427
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FAQs on GCF of Fractions of 2149/307, 3673/3161
1. What is the HCF of 2149,3673?
The HCF of 2149,3673 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 2149/307, 3673/3161?
Answer: GCF of Numerators as per given numbers 2149/307, 3673/3161 is
GCF of Numerators i.e. for 2149,3673 is 1
LCM of denominators i.e. for 307,3161 is 970427.
Thus, GCF of Fractions is 1/970427.Finally, GCF of Fractions for 2149/307, 3673/3161 is 1/970427.