Use our free GCF of Fractions Calculator tool to compute the GCF of 587/259, 225/310 i.e 1/80290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 587/259, 225/310.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 587/259,225/310
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 587/259,225/310, numerators are 587,225
Denominators are 259,310
The GCF of 587,225 is 1 .
LCM of 259,310 is 80290.
The greatest common factor of 587/259,225/310 = [GCF of 587,225]/[LCM of 259,310]= 1/80290
Therefore, the GCF of 587/259,225/310 is 1/80290.
To find the highest common factor of 587,225, we have to find the factors of both numbers and list the highest common factor.
The factors of 587 are 1, 587
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The HCF of 587,225 is 1.
Lets's calculate GCF of 587,225
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 587
:1,587
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Greatest Common Factor
We found the factors 587,225 . The biggest common factor number is the GCF number.
So the greatest common factor 587,225 is 1.
Lets's calculate LCM of 259,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 80290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80290
Therefore, the GCF of Fractions 587/259,225/310 is 1/80290
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 259,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,310) x common factors =1 x 1 = 1
LCM(259,310) = ( 259 × 310 ) / 1
LCM(259,310) = 80290 / 1
LCM(259,310) = 80290
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 587,225?
The HCF of 587,225 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 587/259, 225/310?
Answer: GCF of Numerators as per given numbers 587/259, 225/310 is
GCF of Numerators i.e. for 587,225 is 1
LCM of denominators i.e. for 259,310 is 80290.
Thus, GCF of Fractions is 1/80290.Finally, GCF of Fractions for 587/259, 225/310 is 1/80290.