Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 422/693,758/117,192/286
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 422,758,192
Greatest Common Factor of Numerators i.e. GCF of 422,758,192 is 2 .
LCM of Denominators means LCM of 693,117,286 as per the given fractions.
LCM of 693,117,286 is 18018 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 422,758,192
2 | 422, 758, 192 |
211, 379, 96 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 422
List of positive integer factors of 422 that divides 422 without a remainder.
1,2,211,422
Factors of 758
List of positive integer factors of 758 that divides 758 without a remainder.
1,2,379,758
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 422,758,192 . The biggest common factor number is the GCF number.
So the greatest common factor 422,758,192 is 2.
Lets's calculate LCM of 693,117,286
3 | 693, 117, 286 |
3 | 231, 39, 286 |
11 | 77, 13, 286 |
13 | 7, 13, 26 |
7, 1, 2 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 13 x 7 x 1 x 2 = 18018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18018
Therefore, the GCF of Fractions 422/693,758/117,192/286 is 2/18018
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 693,117,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(693,117,286) = 1
common factors(in case of two or more numbers have common factors) = 1287
GCF(693,117,286) x common factors =1 x 1287 = 1287
LCM(693,117,286) = ( 693 × 117 × 286 ) / 1287
LCM(693,117,286) = 23189166 / 1287
LCM(693,117,286) = 18018
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 422/693, 758/117, 192/286?
Answer: GCF of Numerators as per given numbers 422/693, 758/117, 192/286 is
GCF of Numerators i.e. for 422,758,192 is 2
LCM of denominators i.e. for 693,117,286 is 18018.
Thus, GCF of Fractions is 2/18018.Finally, GCF of Fractions for 422/693, 758/117, 192/286 is 2/18018.