Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/47,747/231
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 201,747
Greatest Common Factor of Numerators i.e. GCF of 201,747 is 3 .
LCM of Denominators means LCM of 47,231 as per the given fractions.
LCM of 47,231 is 10857 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,747
3 | 201, 747 |
67, 249 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Greatest Common Factor
We found the factors 201,747 . The biggest common factor number is the GCF number.
So the greatest common factor 201,747 is 3.
Lets's calculate LCM of 47,231
Given numbers has no common factors except 1. So, there LCM is their product i.e 10857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10857
Therefore, the GCF of Fractions 201/47,747/231 is 3/10857
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 47,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,231) x common factors =1 x 1 = 1
LCM(47,231) = ( 47 × 231 ) / 1
LCM(47,231) = 10857 / 1
LCM(47,231) = 10857
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 201/47, 747/231?
Answer: GCF of Numerators as per given numbers 201/47, 747/231 is
GCF of Numerators i.e. for 201,747 is 3
LCM of denominators i.e. for 47,231 is 10857.
Thus, GCF of Fractions is 3/10857.Finally, GCF of Fractions for 201/47, 747/231 is 3/10857.