Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 585/33,690/16,198/797
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 585,690,198
Greatest Common Factor of Numerators i.e. GCF of 585,690,198 is 3 .
LCM of Denominators means LCM of 33,16,797 as per the given fractions.
LCM of 33,16,797 is 420816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 585,690,198
3 | 585, 690, 198 |
195, 230, 66 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 585,690,198 . The biggest common factor number is the GCF number.
So the greatest common factor 585,690,198 is 3.
Lets's calculate LCM of 33,16,797
Given numbers has no common factors except 1. So, there LCM is their product i.e 420816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/420816
Therefore, the GCF of Fractions 585/33,690/16,198/797 is 3/420816
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 33,16,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,16,797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(33,16,797) x common factors =1 x 1 = 1
LCM(33,16,797) = ( 33 × 16 × 797 ) / 1
LCM(33,16,797) = 420816 / 1
LCM(33,16,797) = 420816
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 585/33, 690/16, 198/797?
Answer: GCF of Numerators as per given numbers 585/33, 690/16, 198/797 is
GCF of Numerators i.e. for 585,690,198 is 3
LCM of denominators i.e. for 33,16,797 is 420816.
Thus, GCF of Fractions is 3/420816.Finally, GCF of Fractions for 585/33, 690/16, 198/797 is 3/420816.