Use our free GCF of Fractions Calculator tool to compute the GCF of 287/310, 259/531 i.e 7/164610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 287/310, 259/531.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 287/310,259/531
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 287/310,259/531, numerators are 287,259
Denominators are 310,531
The GCF of 287,259 is 7 .
LCM of 310,531 is 164610.
The greatest common factor of 287/310,259/531 = [GCF of 287,259]/[LCM of 310,531]= 7/164610
Therefore, the GCF of 287/310,259/531 is 7/164610.
To find the highest common factor of 287,259, we have to find the factors of both numbers and list the highest common factor.
The factors of 287 are 1, 7, 41, 287
The factors of 259 are 1, 7, 37, 259
The HCF of 287,259 is 7.
Lets's calculate GCF of 287,259
7 | 287, 259 |
41, 37 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 287
:1,7,41,287
Now, list down the factors of 259
:1,7,37,259
Greatest Common Factor
We found the factors 287,259 . The biggest common factor number is the GCF number.
So the greatest common factor 287,259 is 7.
Lets's calculate LCM of 310,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 164610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/164610
Therefore, the GCF of Fractions 287/310,259/531 is 7/164610
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 310,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(310,531) x common factors =1 x 1 = 1
LCM(310,531) = ( 310 × 531 ) / 1
LCM(310,531) = 164610 / 1
LCM(310,531) = 164610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 287,259?
The HCF of 287,259 is 7
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 287/310, 259/531?
Answer: GCF of Numerators as per given numbers 287/310, 259/531 is
GCF of Numerators i.e. for 287,259 is 7
LCM of denominators i.e. for 310,531 is 164610.
Thus, GCF of Fractions is 7/164610.Finally, GCF of Fractions for 287/310, 259/531 is 7/164610.