GCF of 215/416, 405/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 215/416, 405/593 i.e 5/246688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 215/416, 405/593.
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 215/416,405/593?
Given fractions are 215/416,405/593
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 215/416,405/593, numerators are 215,405
Denominators are 416,593
The GCF of 215,405 is 5 .
LCM of 416,593 is 246688.
The greatest common factor of 215/416,405/593 = [GCF of 215,405]/[LCM of 416,593]= 5/246688
Therefore, the GCF of 215/416,405/593 is 5/246688.
To find the highest common factor of 215,405, we have to find the factors of both numbers and list the highest common factor.
The factors of 215 are 1, 5, 43, 215
The factors of 405 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
The HCF of 215,405 is 5.
Lets's calculate GCF of 215,405
| 5 | 215, 405 |
| 43, 81 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 215,405 By Matching Biggest Common Factor Method
Now, list down the factors of 215
:1,5,43,215
Now, list down the factors of 405
:1,3,5,9,15,27,45,81,135,405
Greatest Common Factor
We found the factors 215,405 . The biggest common factor number is the GCF number.
So the greatest common factor 215,405 is 5.
Lets's calculate LCM of 416,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 246688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/246688
Therefore, the GCF of Fractions 215/416,405/593 is 5/246688
Least Common Multiple of 416,593 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 416,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,593) x common factors =1 x 1 = 1
LCM(416,593) = ( 416 × 593 ) / 1
LCM(416,593) = 246688 / 1
LCM(416,593) = 246688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 215/416, 405/593
1. What is the HCF of 215,405?
The HCF of 215,405 is 5
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 215/416, 405/593?
Answer: GCF of Numerators as per given numbers 215/416, 405/593 is
GCF of Numerators i.e. for 215,405 is 5
LCM of denominators i.e. for 416,593 is 246688.
Thus, GCF of Fractions is 5/246688.Finally, GCF of Fractions for 215/416, 405/593 is 5/246688.