Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/53,536/2723
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 201,536
Greatest Common Factor of Numerators i.e. GCF of 201,536 is 67 .
LCM of Denominators means LCM of 53,2723 as per the given fractions.
LCM of 53,2723 is 144319 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,536
67 | 201, 536 |
3, 8 |
∴ So the GCF of the given numbers is 67 = 67
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Greatest Common Factor
We found the factors 201,536 . The biggest common factor number is the GCF number.
So the greatest common factor 201,536 is 67.
Lets's calculate LCM of 53,2723
Given numbers has no common factors except 1. So, there LCM is their product i.e 144319
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 67/144319
Therefore, the GCF of Fractions 201/53,536/2723 is 67/144319
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 53,2723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,2723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,2723) x common factors =1 x 1 = 1
LCM(53,2723) = ( 53 × 2723 ) / 1
LCM(53,2723) = 144319 / 1
LCM(53,2723) = 144319
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 201/53, 536/2723?
Answer: GCF of Numerators as per given numbers 201/53, 536/2723 is
GCF of Numerators i.e. for 201,536 is 67
LCM of denominators i.e. for 53,2723 is 144319.
Thus, GCF of Fractions is 67/144319.Finally, GCF of Fractions for 201/53, 536/2723 is 67/144319.