Use our free GCF of Fractions Calculator tool to compute the GCF of 96/514, 45/439, 150/316 i.e 3/35652068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/514, 45/439, 150/316.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/514,45/439,150/316
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 96/514,45/439,150/316, numerators are 96,45,150
Denominators are 514,439,316
The GCF of 96,45,150 is 3 .
LCM of 514,439,316 is 35652068.
The greatest common factor of 96/514,45/439,150/316 = [GCF of 96,45,150]/[LCM of 514,439,316]= 3/35652068
Therefore, the GCF of 96/514,45/439,150/316 is 3/35652068.
To find the highest common factor of 96,45,150, 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 45 are 1, 3, 5, 9, 15, 45
The factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
The HCF of 96,45,150 is 3.
Lets's calculate GCF of 96,45,150
3 | 96, 45, 150 |
32, 15, 50 |
∴ So the GCF of the given numbers is 3 = 3
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 45
:1,3,5,9,15,45
Now, list down the factors of 150
:1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 96,45,150 . The biggest common factor number is the GCF number.
So the greatest common factor 96,45,150 is 3.
Lets's calculate LCM of 514,439,316
2 | 514, 439, 316 |
257, 439, 158 |
∴ So the LCM of the given numbers is 2 x 257 x 439 x 158 = 35652068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35652068
Therefore, the GCF of Fractions 96/514,45/439,150/316 is 3/35652068
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 514,439,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,439,316) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(514,439,316) x common factors =1 x 2 = 2
LCM(514,439,316) = ( 514 × 439 × 316 ) / 2
LCM(514,439,316) = 71304136 / 2
LCM(514,439,316) = 35652068
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,45,150?
The HCF of 96,45,150 is 3
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 96/514, 45/439, 150/316?
Answer: GCF of Numerators as per given numbers 96/514, 45/439, 150/316 is
GCF of Numerators i.e. for 96,45,150 is 3
LCM of denominators i.e. for 514,439,316 is 35652068.
Thus, GCF of Fractions is 3/35652068.Finally, GCF of Fractions for 96/514, 45/439, 150/316 is 3/35652068.