GCF of 728/142, 5463/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 728/142, 5463/389 i.e 1/55238 easily. The following is the detailed procedure to determine the greatest common factor of fractions 728/142, 5463/389.
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 728/142,5463/389?
Given fractions are 728/142,5463/389
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 728/142,5463/389, numerators are 728,5463
Denominators are 142,389
The GCF of 728,5463 is 1 .
LCM of 142,389 is 55238.
The greatest common factor of 728/142,5463/389 = [GCF of 728,5463]/[LCM of 142,389]= 1/55238
Therefore, the GCF of 728/142,5463/389 is 1/55238.
To find the highest common factor of 728,5463, we have to find the factors of both numbers and list the highest common factor.
The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The HCF of 728,5463 is 1.
Lets's calculate GCF of 728,5463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 728,5463 By Matching Biggest Common Factor Method
Now, list down the factors of 728
:1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Greatest Common Factor
We found the factors 728,5463 . The biggest common factor number is the GCF number.
So the greatest common factor 728,5463 is 1.
Lets's calculate LCM of 142,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 55238
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55238
Therefore, the GCF of Fractions 728/142,5463/389 is 1/55238
Least Common Multiple of 142,389 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 142,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,389) x common factors =1 x 1 = 1
LCM(142,389) = ( 142 × 389 ) / 1
LCM(142,389) = 55238 / 1
LCM(142,389) = 55238
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 728/142, 5463/389
1. What is the HCF of 728,5463?
The HCF of 728,5463 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 728/142, 5463/389?
Answer: GCF of Numerators as per given numbers 728/142, 5463/389 is
GCF of Numerators i.e. for 728,5463 is 1
LCM of denominators i.e. for 142,389 is 55238.
Thus, GCF of Fractions is 1/55238.Finally, GCF of Fractions for 728/142, 5463/389 is 1/55238.