Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 82/37,15/43,16/861
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 82,15,16
Greatest Common Factor of Numerators i.e. GCF of 82,15,16 is 1 .
LCM of Denominators means LCM of 37,43,861 as per the given fractions.
LCM of 37,43,861 is 1369851 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 82,15,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 82,15,16 . The biggest common factor number is the GCF number.
So the greatest common factor 82,15,16 is 1.
Lets's calculate LCM of 37,43,861
Given numbers has no common factors except 1. So, there LCM is their product i.e 1369851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369851
Therefore, the GCF of Fractions 82/37,15/43,16/861 is 1/1369851
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 37,43,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,43,861) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,43,861) x common factors =1 x 1 = 1
LCM(37,43,861) = ( 37 × 43 × 861 ) / 1
LCM(37,43,861) = 1369851 / 1
LCM(37,43,861) = 1369851
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 82/37, 15/43, 16/861?
Answer: GCF of Numerators as per given numbers 82/37, 15/43, 16/861 is
GCF of Numerators i.e. for 82,15,16 is 1
LCM of denominators i.e. for 37,43,861 is 1369851.
Thus, GCF of Fractions is 1/1369851.Finally, GCF of Fractions for 82/37, 15/43, 16/861 is 1/1369851.