Use our free GCF of Fractions Calculator tool to compute the GCF of 250/284, 328/584 i.e 2/41464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/284, 328/584.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 250/284,328/584
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 250/284,328/584, numerators are 250,328
Denominators are 284,584
The GCF of 250,328 is 2 .
LCM of 284,584 is 41464.
The greatest common factor of 250/284,328/584 = [GCF of 250,328]/[LCM of 284,584]= 2/41464
Therefore, the GCF of 250/284,328/584 is 2/41464.
To find the highest common factor of 250,328, we have to find the factors of both numbers and list the highest common factor.
The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250
The factors of 328 are 1, 2, 4, 8, 41, 82, 164, 328
The HCF of 250,328 is 2.
Lets's calculate GCF of 250,328
2 | 250, 328 |
125, 164 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 250
:1,2,5,10,25,50,125,250
Now, list down the factors of 328
:1,2,4,8,41,82,164,328
Greatest Common Factor
We found the factors 250,328 . The biggest common factor number is the GCF number.
So the greatest common factor 250,328 is 2.
Lets's calculate LCM of 284,584
2 | 284, 584 |
2 | 142, 292 |
71, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 146 = 41464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/41464
Therefore, the GCF of Fractions 250/284,328/584 is 2/41464
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 284,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,584) x common factors =4 x 1 = 4
LCM(284,584) = ( 284 × 584 ) / 4
LCM(284,584) = 165856 / 4
LCM(284,584) = 41464
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 250,328?
The HCF of 250,328 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 250/284, 328/584?
Answer: GCF of Numerators as per given numbers 250/284, 328/584 is
GCF of Numerators i.e. for 250,328 is 2
LCM of denominators i.e. for 284,584 is 41464.
Thus, GCF of Fractions is 2/41464.Finally, GCF of Fractions for 250/284, 328/584 is 2/41464.