Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 993/18,273/66,649/906
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 993,273,649
Greatest Common Factor of Numerators i.e. GCF of 993,273,649 is 1 .
LCM of Denominators means LCM of 18,66,906 as per the given fractions.
LCM of 18,66,906 is 29898 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 993,273,649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Factors of 649
List of positive integer factors of 649 that divides 649 without a remainder.
1,11,59,649
Greatest Common Factor
We found the factors 993,273,649 . The biggest common factor number is the GCF number.
So the greatest common factor 993,273,649 is 1.
Lets's calculate LCM of 18,66,906
2 | 18, 66, 906 |
3 | 9, 33, 453 |
3, 11, 151 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 151 = 29898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29898
Therefore, the GCF of Fractions 993/18,273/66,649/906 is 1/29898
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 18,66,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,66,906) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(18,66,906) x common factors =6 x 6 = 36
LCM(18,66,906) = ( 18 × 66 × 906 ) / 36
LCM(18,66,906) = 1076328 / 36
LCM(18,66,906) = 29898
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 993/18, 273/66, 649/906?
Answer: GCF of Numerators as per given numbers 993/18, 273/66, 649/906 is
GCF of Numerators i.e. for 993,273,649 is 1
LCM of denominators i.e. for 18,66,906 is 29898.
Thus, GCF of Fractions is 1/29898.Finally, GCF of Fractions for 993/18, 273/66, 649/906 is 1/29898.