GCF of 341/724, 149/243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 341/724, 149/243 i.e 1/175932 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/724, 149/243.
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 341/724,149/243?
Given fractions are 341/724,149/243
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 341/724,149/243, numerators are 341,149
Denominators are 724,243
The GCF of 341,149 is 1 .
LCM of 724,243 is 175932.
The greatest common factor of 341/724,149/243 = [GCF of 341,149]/[LCM of 724,243]= 1/175932
Therefore, the GCF of 341/724,149/243 is 1/175932.
To find the highest common factor of 341,149, we have to find the factors of both numbers and list the highest common factor.
The factors of 341 are 1, 11, 31, 341
The factors of 149 are 1, 149
The HCF of 341,149 is 1.
Lets's calculate GCF of 341,149
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 341,149 By Matching Biggest Common Factor Method
Now, list down the factors of 341
:1,11,31,341
Now, list down the factors of 149
:1,149
Greatest Common Factor
We found the factors 341,149 . The biggest common factor number is the GCF number.
So the greatest common factor 341,149 is 1.
Lets's calculate LCM of 724,243
Given numbers has no common factors except 1. So, there LCM is their product i.e 175932
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175932
Therefore, the GCF of Fractions 341/724,149/243 is 1/175932
Least Common Multiple of 724,243 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 724,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,243) x common factors =1 x 1 = 1
LCM(724,243) = ( 724 × 243 ) / 1
LCM(724,243) = 175932 / 1
LCM(724,243) = 175932
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 341/724, 149/243
1. What is the HCF of 341,149?
The HCF of 341,149 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 341/724, 149/243?
Answer: GCF of Numerators as per given numbers 341/724, 149/243 is
GCF of Numerators i.e. for 341,149 is 1
LCM of denominators i.e. for 724,243 is 175932.
Thus, GCF of Fractions is 1/175932.Finally, GCF of Fractions for 341/724, 149/243 is 1/175932.