Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 33/96,16/75,28/65,87/330
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 33,16,28,87
Greatest Common Factor of Numerators i.e. GCF of 33,16,28,87 is 1 .
LCM of Denominators means LCM of 96,75,65,330 as per the given fractions.
LCM of 96,75,65,330 is 343200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 33,16,28,87
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Greatest Common Factor
We found the factors 33,16,28,87 . The biggest common factor number is the GCF number.
So the greatest common factor 33,16,28,87 is 1.
Lets's calculate LCM of 96,75,65,330
2 | 96, 75, 65, 330 |
3 | 48, 75, 65, 165 |
5 | 16, 25, 65, 55 |
16, 5, 13, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 16 x 5 x 13 x 11 = 343200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343200
Therefore, the GCF of Fractions 33/96,16/75,28/65,87/330 is 1/343200
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 96,75,65,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,75,65,330) = 1
common factors(in case of two or more numbers have common factors) = 450
GCF(96,75,65,330) x common factors =1 x 450 = 450
LCM(96,75,65,330) = ( 96 × 75 × 65 × 330 ) / 450
LCM(96,75,65,330) = 154440000 / 450
LCM(96,75,65,330) = 343200
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 33/96, 16/75, 28/65, 87/330?
Answer: GCF of Numerators as per given numbers 33/96, 16/75, 28/65, 87/330 is
GCF of Numerators i.e. for 33,16,28,87 is 1
LCM of denominators i.e. for 96,75,65,330 is 343200.
Thus, GCF of Fractions is 1/343200.Finally, GCF of Fractions for 33/96, 16/75, 28/65, 87/330 is 1/343200.