Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 43/89,939/57,843/902
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 43,939,843
Greatest Common Factor of Numerators i.e. GCF of 43,939,843 is 1 .
LCM of Denominators means LCM of 89,57,902 as per the given fractions.
LCM of 89,57,902 is 4575846 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 43,939,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors 43,939,843 . The biggest common factor number is the GCF number.
So the greatest common factor 43,939,843 is 1.
Lets's calculate LCM of 89,57,902
Given numbers has no common factors except 1. So, there LCM is their product i.e 4575846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4575846
Therefore, the GCF of Fractions 43/89,939/57,843/902 is 1/4575846
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 89,57,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,57,902) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,57,902) x common factors =1 x 1 = 1
LCM(89,57,902) = ( 89 × 57 × 902 ) / 1
LCM(89,57,902) = 4575846 / 1
LCM(89,57,902) = 4575846
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 43/89, 939/57, 843/902?
Answer: GCF of Numerators as per given numbers 43/89, 939/57, 843/902 is
GCF of Numerators i.e. for 43,939,843 is 1
LCM of denominators i.e. for 89,57,902 is 4575846.
Thus, GCF of Fractions is 1/4575846.Finally, GCF of Fractions for 43/89, 939/57, 843/902 is 1/4575846.