Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/96,4/35,81/16,72/192
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 5,4,81,72
Greatest Common Factor of Numerators i.e. GCF of 5,4,81,72 is 1 .
LCM of Denominators means LCM of 96,35,16,192 as per the given fractions.
LCM of 96,35,16,192 is 6720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,4,81,72
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Greatest Common Factor
We found the factors 5,4,81,72 . The biggest common factor number is the GCF number.
So the greatest common factor 5,4,81,72 is 1.
Lets's calculate LCM of 96,35,16,192
2 | 96, 35, 16, 192 |
2 | 48, 35, 8, 96 |
2 | 24, 35, 4, 48 |
2 | 12, 35, 2, 24 |
2 | 6, 35, 1, 12 |
3 | 3, 35, 1, 6 |
1, 35, 1, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 1 x 35 x 1 x 2 = 6720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6720
Therefore, the GCF of Fractions 5/96,4/35,81/16,72/192 is 1/6720
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 96,35,16,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,35,16,192) = 1
common factors(in case of two or more numbers have common factors) = 1536
GCF(96,35,16,192) x common factors =1 x 1536 = 1536
LCM(96,35,16,192) = ( 96 × 35 × 16 × 192 ) / 1536
LCM(96,35,16,192) = 10321920 / 1536
LCM(96,35,16,192) = 6720
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 5/96, 4/35, 81/16, 72/192?
Answer: GCF of Numerators as per given numbers 5/96, 4/35, 81/16, 72/192 is
GCF of Numerators i.e. for 5,4,81,72 is 1
LCM of denominators i.e. for 96,35,16,192 is 6720.
Thus, GCF of Fractions is 1/6720.Finally, GCF of Fractions for 5/96, 4/35, 81/16, 72/192 is 1/6720.