Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 16/134,30/239,843/809
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 16,30,843
Greatest Common Factor of Numerators i.e. GCF of 16,30,843 is 1 .
LCM of Denominators means LCM of 134,239,809 as per the given fractions.
LCM of 134,239,809 is 25909034 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 16,30,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
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 16,30,843 . The biggest common factor number is the GCF number.
So the greatest common factor 16,30,843 is 1.
Lets's calculate LCM of 134,239,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 25909034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25909034
Therefore, the GCF of Fractions 16/134,30/239,843/809 is 1/25909034
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 134,239,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,239,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,239,809) x common factors =1 x 1 = 1
LCM(134,239,809) = ( 134 × 239 × 809 ) / 1
LCM(134,239,809) = 25909034 / 1
LCM(134,239,809) = 25909034
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 16/134, 30/239, 843/809?
Answer: GCF of Numerators as per given numbers 16/134, 30/239, 843/809 is
GCF of Numerators i.e. for 16,30,843 is 1
LCM of denominators i.e. for 134,239,809 is 25909034.
Thus, GCF of Fractions is 1/25909034.Finally, GCF of Fractions for 16/134, 30/239, 843/809 is 1/25909034.