Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5909/784,8173/1973
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 5909,8173
Greatest Common Factor of Numerators i.e. GCF of 5909,8173 is 1 .
LCM of Denominators means LCM of 784,1973 as per the given fractions.
LCM of 784,1973 is 1546832 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5909,8173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5909
List of positive integer factors of 5909 that divides 5909 without a remainder.
1,19,311,5909
Factors of 8173
List of positive integer factors of 8173 that divides 8173 without a remainder.
1,11,743,8173
Greatest Common Factor
We found the factors 5909,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,8173 is 1.
Lets's calculate LCM of 784,1973
Given numbers has no common factors except 1. So, there LCM is their product i.e 1546832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1546832
Therefore, the GCF of Fractions 5909/784,8173/1973 is 1/1546832
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 784,1973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1973) x common factors =1 x 1 = 1
LCM(784,1973) = ( 784 × 1973 ) / 1
LCM(784,1973) = 1546832 / 1
LCM(784,1973) = 1546832
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 5909/784, 8173/1973?
Answer: GCF of Numerators as per given numbers 5909/784, 8173/1973 is
GCF of Numerators i.e. for 5909,8173 is 1
LCM of denominators i.e. for 784,1973 is 1546832.
Thus, GCF of Fractions is 1/1546832.Finally, GCF of Fractions for 5909/784, 8173/1973 is 1/1546832.