GCF of 723/42, 727/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 723/42, 727/389 i.e 1/16338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 723/42, 727/389.
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 723/42,727/389?
Given fractions are 723/42,727/389
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 723/42,727/389, numerators are 723,727
Denominators are 42,389
The GCF of 723,727 is 1 .
LCM of 42,389 is 16338.
The greatest common factor of 723/42,727/389 = [GCF of 723,727]/[LCM of 42,389]= 1/16338
Therefore, the GCF of 723/42,727/389 is 1/16338.
To find the highest common factor of 723,727, we have to find the factors of both numbers and list the highest common factor.
The factors of 723 are 1, 3, 241, 723
The factors of 727 are 1, 727
The HCF of 723,727 is 1.
Lets's calculate GCF of 723,727
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 723,727 By Matching Biggest Common Factor Method
Now, list down the factors of 723
:1,3,241,723
Now, list down the factors of 727
:1,727
Greatest Common Factor
We found the factors 723,727 . The biggest common factor number is the GCF number.
So the greatest common factor 723,727 is 1.
Lets's calculate LCM of 42,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 16338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16338
Therefore, the GCF of Fractions 723/42,727/389 is 1/16338
Least Common Multiple of 42,389 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 42,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,389) x common factors =1 x 1 = 1
LCM(42,389) = ( 42 × 389 ) / 1
LCM(42,389) = 16338 / 1
LCM(42,389) = 16338
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 723/42, 727/389
1. What is the HCF of 723,727?
The HCF of 723,727 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 723/42, 727/389?
Answer: GCF of Numerators as per given numbers 723/42, 727/389 is
GCF of Numerators i.e. for 723,727 is 1
LCM of denominators i.e. for 42,389 is 16338.
Thus, GCF of Fractions is 1/16338.Finally, GCF of Fractions for 723/42, 727/389 is 1/16338.