Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5405/379,2186/9256
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 5405,2186
Greatest Common Factor of Numerators i.e. GCF of 5405,2186 is 1 .
LCM of Denominators means LCM of 379,9256 as per the given fractions.
LCM of 379,9256 is 3508024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5405,2186
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5405
List of positive integer factors of 5405 that divides 5405 without a remainder.
1,5,23,47,115,235,1081,5405
Factors of 2186
List of positive integer factors of 2186 that divides 2186 without a remainder.
1,2,1093,2186
Greatest Common Factor
We found the factors 5405,2186 . The biggest common factor number is the GCF number.
So the greatest common factor 5405,2186 is 1.
Lets's calculate LCM of 379,9256
Given numbers has no common factors except 1. So, there LCM is their product i.e 3508024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3508024
Therefore, the GCF of Fractions 5405/379,2186/9256 is 1/3508024
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 379,9256 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,9256) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,9256) x common factors =1 x 1 = 1
LCM(379,9256) = ( 379 × 9256 ) / 1
LCM(379,9256) = 3508024 / 1
LCM(379,9256) = 3508024
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 5405/379, 2186/9256?
Answer: GCF of Numerators as per given numbers 5405/379, 2186/9256 is
GCF of Numerators i.e. for 5405,2186 is 1
LCM of denominators i.e. for 379,9256 is 3508024.
Thus, GCF of Fractions is 1/3508024.Finally, GCF of Fractions for 5405/379, 2186/9256 is 1/3508024.