Use our free GCF of Fractions Calculator tool to compute the GCF of 590/480, 464/168 i.e 2/3360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/480, 464/168.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 590/480,464/168
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 590/480,464/168, numerators are 590,464
Denominators are 480,168
The GCF of 590,464 is 2 .
LCM of 480,168 is 3360.
The greatest common factor of 590/480,464/168 = [GCF of 590,464]/[LCM of 480,168]= 2/3360
Therefore, the GCF of 590/480,464/168 is 2/3360.
To find the highest common factor of 590,464, 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 464 are 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
The HCF of 590,464 is 2.
Lets's calculate GCF of 590,464
2 | 590, 464 |
295, 232 |
∴ 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 464
:1,2,4,8,16,29,58,116,232,464
Greatest Common Factor
We found the factors 590,464 . The biggest common factor number is the GCF number.
So the greatest common factor 590,464 is 2.
Lets's calculate LCM of 480,168
2 | 480, 168 |
2 | 240, 84 |
2 | 120, 42 |
3 | 60, 21 |
20, 7 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 20 x 7 = 3360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3360
Therefore, the GCF of Fractions 590/480,464/168 is 2/3360
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 480,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(480,168) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(480,168) x common factors =24 x 1 = 24
LCM(480,168) = ( 480 × 168 ) / 24
LCM(480,168) = 80640 / 24
LCM(480,168) = 3360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 590,464?
The HCF of 590,464 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 590/480, 464/168?
Answer: GCF of Numerators as per given numbers 590/480, 464/168 is
GCF of Numerators i.e. for 590,464 is 2
LCM of denominators i.e. for 480,168 is 3360.
Thus, GCF of Fractions is 2/3360.Finally, GCF of Fractions for 590/480, 464/168 is 2/3360.