Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 990/65,935/34,201/20
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 990,935,201
Greatest Common Factor of Numerators i.e. GCF of 990,935,201 is 1 .
LCM of Denominators means LCM of 65,34,20 as per the given fractions.
LCM of 65,34,20 is 4420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 990,935,201
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 990,935,201 . The biggest common factor number is the GCF number.
So the greatest common factor 990,935,201 is 1.
Lets's calculate LCM of 65,34,20
2 | 65, 34, 20 |
5 | 65, 17, 10 |
13, 17, 2 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 17 x 2 = 4420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4420
Therefore, the GCF of Fractions 990/65,935/34,201/20 is 1/4420
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 65,34,20 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,34,20) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(65,34,20) x common factors =1 x 10 = 10
LCM(65,34,20) = ( 65 × 34 × 20 ) / 10
LCM(65,34,20) = 44200 / 10
LCM(65,34,20) = 4420
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 990/65, 935/34, 201/20?
Answer: GCF of Numerators as per given numbers 990/65, 935/34, 201/20 is
GCF of Numerators i.e. for 990,935,201 is 1
LCM of denominators i.e. for 65,34,20 is 4420.
Thus, GCF of Fractions is 1/4420.Finally, GCF of Fractions for 990/65, 935/34, 201/20 is 1/4420.