Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 193/65,6655/718
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 193,6655
Greatest Common Factor of Numerators i.e. GCF of 193,6655 is 1 .
LCM of Denominators means LCM of 65,718 as per the given fractions.
LCM of 65,718 is 46670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 193,6655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 193
List of positive integer factors of 193 that divides 193 without a remainder.
1,193
Factors of 6655
List of positive integer factors of 6655 that divides 6655 without a remainder.
1,5,11,55,121,605,1331,6655
Greatest Common Factor
We found the factors 193,6655 . The biggest common factor number is the GCF number.
So the greatest common factor 193,6655 is 1.
Lets's calculate LCM of 65,718
Given numbers has no common factors except 1. So, there LCM is their product i.e 46670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46670
Therefore, the GCF of Fractions 193/65,6655/718 is 1/46670
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 65,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,718) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,718) x common factors =1 x 1 = 1
LCM(65,718) = ( 65 × 718 ) / 1
LCM(65,718) = 46670 / 1
LCM(65,718) = 46670
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 193/65, 6655/718?
Answer: GCF of Numerators as per given numbers 193/65, 6655/718 is
GCF of Numerators i.e. for 193,6655 is 1
LCM of denominators i.e. for 65,718 is 46670.
Thus, GCF of Fractions is 1/46670.Finally, GCF of Fractions for 193/65, 6655/718 is 1/46670.