Use our free GCF of Fractions Calculator tool to compute the GCF of 65/867, 13/259 i.e 13/224553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 65/867, 13/259.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/867,13/259
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 65/867,13/259, numerators are 65,13
Denominators are 867,259
The GCF of 65,13 is 13 .
LCM of 867,259 is 224553.
The greatest common factor of 65/867,13/259 = [GCF of 65,13]/[LCM of 867,259]= 13/224553
Therefore, the GCF of 65/867,13/259 is 13/224553.
To find the highest common factor of 65,13, we have to find the factors of both numbers and list the highest common factor.
The factors of 65 are 1, 5, 13, 65
The factors of 13 are 1, 13
The HCF of 65,13 is 13.
Lets's calculate GCF of 65,13
13 | 65, 13 |
5, 1 |
∴ So the GCF of the given numbers is 13 = 13
Lets's calculate LCM of 867,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 224553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/224553
Therefore, the GCF of Fractions 65/867,13/259 is 13/224553
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 867,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,259) x common factors =1 x 1 = 1
LCM(867,259) = ( 867 × 259 ) / 1
LCM(867,259) = 224553 / 1
LCM(867,259) = 224553
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 65,13?
The HCF of 65,13 is 13
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 65/867, 13/259?
Answer: GCF of Numerators as per given numbers 65/867, 13/259 is
GCF of Numerators i.e. for 65,13 is 13
LCM of denominators i.e. for 867,259 is 224553.
Thus, GCF of Fractions is 13/224553.Finally, GCF of Fractions for 65/867, 13/259 is 13/224553.