Use our free GCF of Fractions Calculator tool to compute the GCF of 457/259, 915/259 i.e 1/259 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/259, 915/259.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 457/259,915/259
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 457/259,915/259, numerators are 457,915
Denominators are 259,259
The GCF of 457,915 is 1 .
LCM of 259,259 is 259.
The greatest common factor of 457/259,915/259 = [GCF of 457,915]/[LCM of 259,259]= 1/259
Therefore, the GCF of 457/259,915/259 is 1/259.
To find the highest common factor of 457,915, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915
The HCF of 457,915 is 1.
Lets's calculate GCF of 457,915
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 457
:1,457
Now, list down the factors of 915
:1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 457,915 . The biggest common factor number is the GCF number.
So the greatest common factor 457,915 is 1.
Lets's calculate LCM of 259,259
7 | 259, 259 |
37 | 37, 37 |
1, 1 |
∴ So the LCM of the given numbers is 7 x 37 x 1 x 1 = 259
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259
Therefore, the GCF of Fractions 457/259,915/259 is 1/259
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 259,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,259) = 259
common factors(in case of two or more numbers have common factors) = 1
GCF(259,259) x common factors =259 x 1 = 259
LCM(259,259) = ( 259 × 259 ) / 259
LCM(259,259) = 67081 / 259
LCM(259,259) = 259
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 457,915?
The HCF of 457,915 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 457/259, 915/259?
Answer: GCF of Numerators as per given numbers 457/259, 915/259 is
GCF of Numerators i.e. for 457,915 is 1
LCM of denominators i.e. for 259,259 is 259.
Thus, GCF of Fractions is 1/259.Finally, GCF of Fractions for 457/259, 915/259 is 1/259.