Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3333/427,1838/937
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 3333,1838
Greatest Common Factor of Numerators i.e. GCF of 3333,1838 is 1 .
LCM of Denominators means LCM of 427,937 as per the given fractions.
LCM of 427,937 is 400099 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3333,1838
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3333
List of positive integer factors of 3333 that divides 3333 without a remainder.
1,3,11,33,101,303,1111,3333
Factors of 1838
List of positive integer factors of 1838 that divides 1838 without a remainder.
1,2,919,1838
Greatest Common Factor
We found the factors 3333,1838 . The biggest common factor number is the GCF number.
So the greatest common factor 3333,1838 is 1.
Lets's calculate LCM of 427,937
Given numbers has no common factors except 1. So, there LCM is their product i.e 400099
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400099
Therefore, the GCF of Fractions 3333/427,1838/937 is 1/400099
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 427,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,937) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,937) x common factors =1 x 1 = 1
LCM(427,937) = ( 427 × 937 ) / 1
LCM(427,937) = 400099 / 1
LCM(427,937) = 400099
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 3333/427, 1838/937?
Answer: GCF of Numerators as per given numbers 3333/427, 1838/937 is
GCF of Numerators i.e. for 3333,1838 is 1
LCM of denominators i.e. for 427,937 is 400099.
Thus, GCF of Fractions is 1/400099.Finally, GCF of Fractions for 3333/427, 1838/937 is 1/400099.