Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 864/57,463/81,162/141
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 864,463,162
Greatest Common Factor of Numerators i.e. GCF of 864,463,162 is 1 .
LCM of Denominators means LCM of 57,81,141 as per the given fractions.
LCM of 57,81,141 is 72333 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 864,463,162
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 864
List of positive integer factors of 864 that divides 864 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Greatest Common Factor
We found the factors 864,463,162 . The biggest common factor number is the GCF number.
So the greatest common factor 864,463,162 is 1.
Lets's calculate LCM of 57,81,141
3 | 57, 81, 141 |
19, 27, 47 |
∴ So the LCM of the given numbers is 3 x 19 x 27 x 47 = 72333
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72333
Therefore, the GCF of Fractions 864/57,463/81,162/141 is 1/72333
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 57,81,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,81,141) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(57,81,141) x common factors =3 x 3 = 9
LCM(57,81,141) = ( 57 × 81 × 141 ) / 9
LCM(57,81,141) = 650997 / 9
LCM(57,81,141) = 72333
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 864/57, 463/81, 162/141?
Answer: GCF of Numerators as per given numbers 864/57, 463/81, 162/141 is
GCF of Numerators i.e. for 864,463,162 is 1
LCM of denominators i.e. for 57,81,141 is 72333.
Thus, GCF of Fractions is 1/72333.Finally, GCF of Fractions for 864/57, 463/81, 162/141 is 1/72333.