Use our free GCF of Fractions Calculator tool to compute the GCF of 96/472, 260/590, 424/150 i.e 4/35400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/472, 260/590, 424/150.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/472,260/590,424/150
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 96/472,260/590,424/150, numerators are 96,260,424
Denominators are 472,590,150
The GCF of 96,260,424 is 4 .
LCM of 472,590,150 is 35400.
The greatest common factor of 96/472,260/590,424/150 = [GCF of 96,260,424]/[LCM of 472,590,150]= 4/35400
Therefore, the GCF of 96/472,260/590,424/150 is 4/35400.
To find the highest common factor of 96,260,424, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The factors of 424 are 1, 2, 4, 8, 53, 106, 212, 424
The HCF of 96,260,424 is 4.
Lets's calculate GCF of 96,260,424
2 | 96, 260, 424 |
2 | 48, 130, 212 |
24, 65, 106 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Now, list down the factors of 424
:1,2,4,8,53,106,212,424
Greatest Common Factor
We found the factors 96,260,424 . The biggest common factor number is the GCF number.
So the greatest common factor 96,260,424 is 4.
Lets's calculate LCM of 472,590,150
2 | 472, 590, 150 |
5 | 236, 295, 75 |
59 | 236, 59, 15 |
4, 1, 15 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 4 x 1 x 15 = 35400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/35400
Therefore, the GCF of Fractions 96/472,260/590,424/150 is 4/35400
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 472,590,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,590,150) = 2
common factors(in case of two or more numbers have common factors) = 590
GCF(472,590,150) x common factors =2 x 590 = 1180
LCM(472,590,150) = ( 472 × 590 × 150 ) / 1180
LCM(472,590,150) = 41772000 / 1180
LCM(472,590,150) = 35400
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,260,424?
The HCF of 96,260,424 is 4
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 96/472, 260/590, 424/150?
Answer: GCF of Numerators as per given numbers 96/472, 260/590, 424/150 is
GCF of Numerators i.e. for 96,260,424 is 4
LCM of denominators i.e. for 472,590,150 is 35400.
Thus, GCF of Fractions is 4/35400.Finally, GCF of Fractions for 96/472, 260/590, 424/150 is 4/35400.