Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 201/13,674/2852
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 201,674
Greatest Common Factor of Numerators i.e. GCF of 201,674 is 1 .
LCM of Denominators means LCM of 13,2852 as per the given fractions.
LCM of 13,2852 is 37076 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 201,674
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1,2,337,674
Greatest Common Factor
We found the factors 201,674 . The biggest common factor number is the GCF number.
So the greatest common factor 201,674 is 1.
Lets's calculate LCM of 13,2852
Given numbers has no common factors except 1. So, there LCM is their product i.e 37076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37076
Therefore, the GCF of Fractions 201/13,674/2852 is 1/37076
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 13,2852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,2852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,2852) x common factors =1 x 1 = 1
LCM(13,2852) = ( 13 × 2852 ) / 1
LCM(13,2852) = 37076 / 1
LCM(13,2852) = 37076
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 201/13, 674/2852?
Answer: GCF of Numerators as per given numbers 201/13, 674/2852 is
GCF of Numerators i.e. for 201,674 is 1
LCM of denominators i.e. for 13,2852 is 37076.
Thus, GCF of Fractions is 1/37076.Finally, GCF of Fractions for 201/13, 674/2852 is 1/37076.