Use our free GCF of Fractions Calculator tool to compute the GCF of 590/605, 478/464 i.e 2/280720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/605, 478/464.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 590/605,478/464
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 590/605,478/464, numerators are 590,478
Denominators are 605,464
The GCF of 590,478 is 2 .
LCM of 605,464 is 280720.
The greatest common factor of 590/605,478/464 = [GCF of 590,478]/[LCM of 605,464]= 2/280720
Therefore, the GCF of 590/605,478/464 is 2/280720.
To find the highest common factor of 590,478, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 478 are 1, 2, 239, 478
The HCF of 590,478 is 2.
Lets's calculate GCF of 590,478
2 | 590, 478 |
295, 239 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 478
:1,2,239,478
Greatest Common Factor
We found the factors 590,478 . The biggest common factor number is the GCF number.
So the greatest common factor 590,478 is 2.
Lets's calculate LCM of 605,464
Given numbers has no common factors except 1. So, there LCM is their product i.e 280720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/280720
Therefore, the GCF of Fractions 590/605,478/464 is 2/280720
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 605,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(605,464) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(605,464) x common factors =1 x 1 = 1
LCM(605,464) = ( 605 × 464 ) / 1
LCM(605,464) = 280720 / 1
LCM(605,464) = 280720
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 590,478?
The HCF of 590,478 is 2
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 590/605, 478/464?
Answer: GCF of Numerators as per given numbers 590/605, 478/464 is
GCF of Numerators i.e. for 590,478 is 2
LCM of denominators i.e. for 605,464 is 280720.
Thus, GCF of Fractions is 2/280720.Finally, GCF of Fractions for 590/605, 478/464 is 2/280720.