Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/50,54/73,993/584
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 45,54,993
Greatest Common Factor of Numerators i.e. GCF of 45,54,993 is 3 .
LCM of Denominators means LCM of 50,73,584 as per the given fractions.
LCM of 50,73,584 is 14600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 45,54,993
3 | 45, 54, 993 |
15, 18, 331 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 45,54,993 . The biggest common factor number is the GCF number.
So the greatest common factor 45,54,993 is 3.
Lets's calculate LCM of 50,73,584
2 | 50, 73, 584 |
73 | 25, 73, 292 |
25, 1, 4 |
∴ So the LCM of the given numbers is 2 x 73 x 25 x 1 x 4 = 14600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14600
Therefore, the GCF of Fractions 45/50,54/73,993/584 is 3/14600
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 50,73,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,73,584) = 1
common factors(in case of two or more numbers have common factors) = 146
GCF(50,73,584) x common factors =1 x 146 = 146
LCM(50,73,584) = ( 50 × 73 × 584 ) / 146
LCM(50,73,584) = 2131600 / 146
LCM(50,73,584) = 14600
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 45/50, 54/73, 993/584?
Answer: GCF of Numerators as per given numbers 45/50, 54/73, 993/584 is
GCF of Numerators i.e. for 45,54,993 is 3
LCM of denominators i.e. for 50,73,584 is 14600.
Thus, GCF of Fractions is 3/14600.Finally, GCF of Fractions for 45/50, 54/73, 993/584 is 3/14600.