Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/15,37/85,16/51,33/16
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 96,37,16,33
Greatest Common Factor of Numerators i.e. GCF of 96,37,16,33 is 1 .
LCM of Denominators means LCM of 15,85,51,16 as per the given fractions.
LCM of 15,85,51,16 is 4080 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,37,16,33
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Greatest Common Factor
We found the factors 96,37,16,33 . The biggest common factor number is the GCF number.
So the greatest common factor 96,37,16,33 is 1.
Lets's calculate LCM of 15,85,51,16
3 | 15, 85, 51, 16 |
5 | 5, 85, 17, 16 |
17 | 1, 17, 17, 16 |
1, 1, 1, 16 |
∴ So the LCM of the given numbers is 3 x 5 x 17 x 1 x 1 x 1 x 16 = 4080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4080
Therefore, the GCF of Fractions 96/15,37/85,16/51,33/16 is 1/4080
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 15,85,51,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,85,51,16) = 1
common factors(in case of two or more numbers have common factors) = 255
GCF(15,85,51,16) x common factors =1 x 255 = 255
LCM(15,85,51,16) = ( 15 × 85 × 51 × 16 ) / 255
LCM(15,85,51,16) = 1040400 / 255
LCM(15,85,51,16) = 4080
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 96/15, 37/85, 16/51, 33/16?
Answer: GCF of Numerators as per given numbers 96/15, 37/85, 16/51, 33/16 is
GCF of Numerators i.e. for 96,37,16,33 is 1
LCM of denominators i.e. for 15,85,51,16 is 4080.
Thus, GCF of Fractions is 1/4080.Finally, GCF of Fractions for 96/15, 37/85, 16/51, 33/16 is 1/4080.