Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4093/882,5048/9089
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 4093,5048
Greatest Common Factor of Numerators i.e. GCF of 4093,5048 is 1 .
LCM of Denominators means LCM of 882,9089 as per the given fractions.
LCM of 882,9089 is 8016498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4093,5048
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4093
List of positive integer factors of 4093 that divides 4093 without a remainder.
1,4093
Factors of 5048
List of positive integer factors of 5048 that divides 5048 without a remainder.
1,2,4,8,631,1262,2524,5048
Greatest Common Factor
We found the factors 4093,5048 . The biggest common factor number is the GCF number.
So the greatest common factor 4093,5048 is 1.
Lets's calculate LCM of 882,9089
Given numbers has no common factors except 1. So, there LCM is their product i.e 8016498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8016498
Therefore, the GCF of Fractions 4093/882,5048/9089 is 1/8016498
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 882,9089 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,9089) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(882,9089) x common factors =1 x 1 = 1
LCM(882,9089) = ( 882 × 9089 ) / 1
LCM(882,9089) = 8016498 / 1
LCM(882,9089) = 8016498
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 4093/882, 5048/9089?
Answer: GCF of Numerators as per given numbers 4093/882, 5048/9089 is
GCF of Numerators i.e. for 4093,5048 is 1
LCM of denominators i.e. for 882,9089 is 8016498.
Thus, GCF of Fractions is 1/8016498.Finally, GCF of Fractions for 4093/882, 5048/9089 is 1/8016498.