GCF of 230/73, 713/545
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 230/73, 713/545 i.e 23/39785 easily. The following is the detailed procedure to determine the greatest common factor of fractions 230/73, 713/545.
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 230/73,713/545?
Given fractions are 230/73,713/545
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 230/73,713/545, numerators are 230,713
Denominators are 73,545
The GCF of 230,713 is 23 .
LCM of 73,545 is 39785.
The greatest common factor of 230/73,713/545 = [GCF of 230,713]/[LCM of 73,545]= 23/39785
Therefore, the GCF of 230/73,713/545 is 23/39785.
To find the highest common factor of 230,713, we have to find the factors of both numbers and list the highest common factor.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, 230
The factors of 713 are 1, 23, 31, 713
The HCF of 230,713 is 23.
Lets's calculate GCF of 230,713
| 23 | 230, 713 |
| 10, 31 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 230,713 By Matching Biggest Common Factor Method
Now, list down the factors of 230
:1,2,5,10,23,46,115,230
Now, list down the factors of 713
:1,23,31,713
Greatest Common Factor
We found the factors 230,713 . The biggest common factor number is the GCF number.
So the greatest common factor 230,713 is 23.
Lets's calculate LCM of 73,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 39785
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/39785
Therefore, the GCF of Fractions 230/73,713/545 is 23/39785
Least Common Multiple of 73,545 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 73,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,545) x common factors =1 x 1 = 1
LCM(73,545) = ( 73 × 545 ) / 1
LCM(73,545) = 39785 / 1
LCM(73,545) = 39785
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 230/73, 713/545
1. What is the HCF of 230,713?
The HCF of 230,713 is 23
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 230/73, 713/545?
Answer: GCF of Numerators as per given numbers 230/73, 713/545 is
GCF of Numerators i.e. for 230,713 is 23
LCM of denominators i.e. for 73,545 is 39785.
Thus, GCF of Fractions is 23/39785.Finally, GCF of Fractions for 230/73, 713/545 is 23/39785.