Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 997/367,2193/531
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 997,2193
Greatest Common Factor of Numerators i.e. GCF of 997,2193 is 1 .
LCM of Denominators means LCM of 367,531 as per the given fractions.
LCM of 367,531 is 194877 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 997,2193
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 997
List of positive integer factors of 997 that divides 997 without a remainder.
1,997
Factors of 2193
List of positive integer factors of 2193 that divides 2193 without a remainder.
1,3,17,43,51,129,731,2193
Greatest Common Factor
We found the factors 997,2193 . The biggest common factor number is the GCF number.
So the greatest common factor 997,2193 is 1.
Lets's calculate LCM of 367,531
Given numbers has no common factors except 1. So, there LCM is their product i.e 194877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/194877
Therefore, the GCF of Fractions 997/367,2193/531 is 1/194877
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 367,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(367,531) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(367,531) x common factors =1 x 1 = 1
LCM(367,531) = ( 367 × 531 ) / 1
LCM(367,531) = 194877 / 1
LCM(367,531) = 194877
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 997/367, 2193/531?
Answer: GCF of Numerators as per given numbers 997/367, 2193/531 is
GCF of Numerators i.e. for 997,2193 is 1
LCM of denominators i.e. for 367,531 is 194877.
Thus, GCF of Fractions is 1/194877.Finally, GCF of Fractions for 997/367, 2193/531 is 1/194877.