Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2065/23,2141/808
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 2065,2141
Greatest Common Factor of Numerators i.e. GCF of 2065,2141 is 1 .
LCM of Denominators means LCM of 23,808 as per the given fractions.
LCM of 23,808 is 18584 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2065,2141
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2065
List of positive integer factors of 2065 that divides 2065 without a remainder.
1,5,7,35,59,295,413,2065
Factors of 2141
List of positive integer factors of 2141 that divides 2141 without a remainder.
1,2141
Greatest Common Factor
We found the factors 2065,2141 . The biggest common factor number is the GCF number.
So the greatest common factor 2065,2141 is 1.
Lets's calculate LCM of 23,808
Given numbers has no common factors except 1. So, there LCM is their product i.e 18584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18584
Therefore, the GCF of Fractions 2065/23,2141/808 is 1/18584
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 23,808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,808) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,808) x common factors =1 x 1 = 1
LCM(23,808) = ( 23 × 808 ) / 1
LCM(23,808) = 18584 / 1
LCM(23,808) = 18584
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 2065/23, 2141/808?
Answer: GCF of Numerators as per given numbers 2065/23, 2141/808 is
GCF of Numerators i.e. for 2065,2141 is 1
LCM of denominators i.e. for 23,808 is 18584.
Thus, GCF of Fractions is 1/18584.Finally, GCF of Fractions for 2065/23, 2141/808 is 1/18584.